If dy/dx=2y^2 and if y= 1 when x=1, then when x=2 y=?See the answer See the answer See the answer done loading Show transcribed image text Expert Answer Who are the experts?Solve {dx/dt=x2y1, dy/dt=2xy1} WolframAlpha Rocket science?
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(1+x^2)dy/dx=x(1-y) y(0)=4/3-Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions 1 Multiple by xayb so Mdx Ndy = 0 with M = xayb 1 xa 1yb 2, N = xa 1yb xa 2yb 1 xa 3yb 2 We choose a, b to achieve 0 = ∂yM − ∂xN = (b 1)xayb (b 2)xa 1yb 1 − (a 1)xayb − (a 2)xa 1yb 1 − (a 3)xa 2yb 2 = xayb((b − a)(1 xy) − (a 3)(xy)2) a = b = − 3 So 0 = Mdx Ndy = (x −
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Solve the differential equation x(y1) dx(x1)dy=0 If y=2 when x=1 Latest Problem Solving in Differential Equations More Questions in Differential Equations Online Questions and Answers in Differential EquationsAlgebra 1 Make an equation to represent the area of a square whose sides are given by the expression x y A A = 2x 2y 2xy B A = x2 2xy y2 C A = 2(x2 y2) D A = x2 y2 I got D please correct me if wrong Thx!Simple and best practice solution for (xx*y^2)dx(1x^2)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it
I was going through past papers of ODEs course I came across a question solve $$\frac{dy}{dx} = \frac{1}{xy^2},\qquad y(2) = 0$$ I have no clue how to proceed I have suspicion that this equation has no closed form solution and may be there was a mistake in the question Course is a basic course on ODEsFree Multivariable Calculus calculator calculate multivariable limits, integrals, gradients and much more stepbystep5) d dx x x x () 10 10 1 g32 g16 6) If y = log x then dy dx = 1 x 7) If y = e 2 then dy dx = 2e 8) The derivative of a x is a xloga 9) The derivative of x m y n = (xy) (mn) is x y QIV Solve the following 1) If y = (6 x 3 − 3 x 2 −9 x) 10, find dy dx 2) If y = 3 8 5 2 4 5 x x g14 g14 g11 g12, find dy dx 3) If y = log(log(logx)) 2
Calculus Find dy/dx y^2= (x1)/ (x1) y2 = x − 1 x 1 y 2 = x 1 x 1 Differentiate both sides of the equation d dx (y2) = d dx ( x−1 x1) d d x ( y 2) = d d x ( x 1 x 1) Differentiate the left side of the equation Tap for more stepsThe differential equation is not well defined in (x,y) = (1,1) as you have an expression of the form 0/0 for dy/dx #8 murshid_islamSimple and best practice solution for (2xy)dy(x^2y^21)dx=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it
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From x dy dx y = x2y2, one can divide both sides by x so that it fits the Bernoulli form dy dx y x = xy2 Divide both sides by y2 y−2 dy dx 1 xy = x Then, define a function v = y1−2 = y−1 Differentiate both sides with respect to x to get dv dx = − dy dx y−2, or dy dx = − y2 dv dxLearn how to solve differential equations problems step by step online Solve the differential equation dx/dy=(x^2y^2)/(1x) Group the terms of the differential equation Move the terms of the x variable to the left side, and the terms of the y variable to the right side Simplify the expression \frac{1x}{x^2}dx Simplify the fraction by xNot a problem Unlock StepbyStep Extended Keyboard Examples
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Sketch a few solutions of the differential equation on the slope field and then find the general solution analyticallyWatch Video in App This browser does not support the video element 17 k 000 Answer Solve the differential equation dy/dx = ((x^2 y^2 3x 3y 2xy 1)/(x^2 y^2 – 3x – 3y 2xy 2)) asked in Differential equations by Nakul01 (369k points) differential equations;
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Answered Solved Solve differential equation dx/dyx/y= 1/(sqrt(1y^2)) The integrating factor method, which was an effective method for solving firstorder differential equations, is not a viable approach for solving secoX`sqrt(1y^2)dxysqrt(1x^2)dy=0` solve using variable separable 1 Educator answer Math Latest answer posted at AM\frac{dy}{dx}=1x^2y^2, Given Here, \frac{dy}{dx} represents the derivative of y with respect to x I will solve for x and y, treating y as a function of x (essentially y=f(x)) \int \frac{dy}{dx}dx=\int 1x^2y^2dx
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The equation is in standard form d=0 Divide 0 by yx \left (x1\right)dy=\left (y1\right)dx Variable x cannot be equal to 1 since division by zero is not defined Multiply both sides of the equation by \left (x1\right)\left (y1\right), the least common multiple of y1,x1 \left (xdd\right)y=\left (y1\right)dxSolution Given x = y√ (1 – y 2) Squaring both sides x 2 = y 2 (1 – y 2) x 2 = y 2 – y 4 Differentiate wrtx 2x = 2y dy/dx – 4y 3 dy/dx dy/dx (2y – 4y 3) = 2x dy/dx = 2x/ (2y – 4y 3) 1053am #1 Sydney Sales Differential EQNS y dx = x (y^2 x^2)^ (1/2) dy ydx = x √ y^2 x^2 dy Rate 0 No votes yet Top
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Click here👆to get an answer to your question ️ Solve the differential equation x(1 y^2)dx y(1 x^2)dy = 0Calculus Find dy/dx y^2=1/ (1x^2) y2 = 1 1 − x2 y 2 = 1 1 x 2 Differentiate both sides of the equation d dx (y2) = d dx ( 1 1−x2) d d x ( y 2) = d d x ( 1 1 x 2) Differentiate the left side of the equation Tap for more stepsWe have, \\left( 1 x \right)\left( 1 y^2 \right) dx \left( 1 y \right)\left( 1 x^2 \right)dy = 0\ \ \Rightarrow \left( 1 x \right)\left( 1 y^2 \right
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4 The curve y = ( c o s x y) 1 / 2 satisfies the differential equation WBJEE 14 5 A solution of the differential equation ( d y d x) 2 − x d y d x y = 0 is AMU 13 6 The differential equation corresponding to the equation y 2 = a ( b − x 2) where a, b are constants is J & K CET 13 The solution curve of the differential equation, (1 e^–x) (1 y^2) dy / dx = y^2, which passes through the point (0, 1), is asked in Mathematics by AbhijeetKumar ( 502k points) jee mainFind the solution of the differential equation that satisfies the given initial conditiondy/dx = y^2 1, y(1) = 0
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Math(xy)^2 \dfrac{dy}{dx}=1/math math\implies (xy)^2 \left\dfrac{d(xy)}{dx}1 \right=1/math math\implies (xy)^2\dfrac{d(xy)}{dx}(xy)^2=1/mathPut the values of A and B sin 1 x – sin 1 y = 2 cot 1 a Differentiate wrtx 1/√ (1 – x 2) – 1/√ (1 – y 2) dy/dx = 0 1/√ (1 – x 2) = 1/√ (1 – y 2) dy/dx dy/dx = √ (1 – y 2 )/√ (1 – x(c) ( y 2 x y 1 ) dx ( x 2 x y 1 ) dy = 0With M = y 2 x y 1 and N = x 2 x y 1, note that ( N x M y) / ( x M y N ) = ( x y ) / ( x ( y 2 x y 1 ) y ( x 2 x y 1 ) ) = ( x y ) / ( x y) = 1 Thus, μ = exp ( ∫ d(xy) ) = e xy is an integrating factor The transformed equation is ( y 2 x y 1 ) e xy dx ( x 2 x y 1 ) e xy dy = 0
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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music Misc 14 Find a particular solution of the differential equation (𝑥1) 𝑑𝑦/𝑑𝑥=2 𝑒^(−𝑦)−1 , given that 𝑦=0 when 𝑥=0 (𝑥1) 𝑑𝑦/𝑑𝑥=2𝑒^(−𝑦)−1 The variables are separable 𝑑𝑦/(2𝑒^( −𝑦 ) − 1) = 𝑑𝑥/(𝑥 1) Integrating both sides ∫1 𝑑𝑦/(2𝑒^(−𝑦) − 1) = ∫1 𝑑𝑥/(𝑥 1) ∫1 𝑑𝑦/(2/𝑒^𝑦 − 1Wolfram Alpha gives which looks a lot more likely to me to be correct than the other answer provided so far (which includes a pretty elementary error in the
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{eq}y\sin(x^2y^2)=xy1 {/eq} Implicit Differentiation Implicit differentiation is a name given to the process of differentiating an implicit function, but what it really is is yet anotherGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!3 If √y = cos − 1x, then it satisfies the differential equation (1 − x2) − xdy dx = c, where c is equal to WBJEE 14 4 The curve y = (cosx y)1 / 2 satisfies the differential equation WBJEE 14 5 A solution of the differential equation (dy dx)2 − xdy dx y = 0 is AMU 13
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the bend moment M of a beam is given by dm/dx=w(1x) where w and l are constantsdetermine M in terms of x given that M=wl^2/2 plz show me working step Algebra Josephine solved a quadratic equation (x6)^2=49 3x^22xyy^2=2 then the value of dy/dx at x=1 is? 1 1 y dy dx = x2 ∫ 1 1 y dy dx dx = ∫ x2 dx ∫ 1 1 y dy = ∫ x2 dx ln(1 y) = x3 3 C 1 y = ex3 3 C = ex3 3 eC = Cex3 3 y = Cex3 3 −1 Applying the IV 3 = Ce0 −1 = C −1 ⇒ C = 4 y = 4ex3 3 −1
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Transcript Example 10 Find the general solution of the differential equation 𝑑𝑦/𝑑𝑥=(1 𝑦^2)/(1 𝑥^2 ) 𝑑𝑦/𝑑𝑥=(1 𝑦^2)/(1 𝑥^2 ) 𝑑𝑦/(1 𝑦2)=𝑑𝑥/(1 𝑥^2 ) Integrating both sides ∫1 𝑑𝑦/(1 𝑦^2 ) = ∫1 𝑑𝑦/(1 𝑥^2 ) (∫1 1/(1 𝑥^2 ) dx = tan−1 x c) tan−1 y = tan−1 x c tan−1 y = tan−1 x c is the Find an implicit solution for dy/dx = x^2 1/y^2 1, for y(0) = 1 Question Find an implicit solution for dy/dx = x^2 1/y^2 1, for y(0) = 1 This problem has been solved!The derivative of the function `y = log(x 1/x)` with respect to x, `dy/dx` has to be determined It is assumed that log in the problem refers to natural logarithm
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murshid_islam said If the boundary condition was , both and would be correct solutions, right? So dy/dx literally means how the variable y changes as x changes Imagine a graph, draw the line y = 1 It doesn't matter what value of x you look at, y = 1 It x changes, decreases or increaes, y will always be 1 won't it So dy/dx = 0 because no matter how xInt (((xy)/2)^2 (1(xy)/2)^2) dx dy, x=0 to 1, y=0 to 1 Extended Keyboard;
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हल कीजिये dy/dx=e^(y)/x^(2)1/x Updated On To keep watching this video solution for FREE, Download our App Join the 2 Crores Student community now!Answer to Solve the initial value problem dy/dx = (y^2 1)/(x^2 1), y(2) = 2 By signing up, you'll get thousands of stepbystep solutions toClick here👆to get an answer to your question ️ Solve (1 y^2)dx = (tan^1y x)dy Join / Login > 12th > Maths > Differential Equations > Solving Linear Differential Equation
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