We would like to solve the following boundary value problem using the weighted residual method: d'u 0

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

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Q: #33 Find y' if YX- XT= 16

A: Given:- y√x -x√y = 16 To find:- y'

Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: (x^2)y'' - xy' + y=x*(lnx)^1/2 find the general solution of this diff eq

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Q: two rates are related using y=x^2+3. find the derivative when x=1 , given that dx/dt = 2 when x=

A: Given that: y=x2+3

Q: +68. Use L.T. s to solve the following D.E. d²v(t) + 5 dv(t) + 6v(1) = 40e^u(t) dt² dt v(0) = 5,…

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Q: 4) (e* + y)dx+ (2y + x)dy = 0 %3D

A: Hence, the general solution is                                            y=-x±x2-4(ex-C)2 Where C…

Q: 6. A particle is travelling along the circular path x² + y² = 100. At the moment when the particle…

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Q: Find y' if exly = 3x - y. Зх — %3D y' = ||

A: Using Derivatives of Implicit Function.

Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: 3t y" – 3y' – 4y = e|variationof parameters

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Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: dy + ydx %3D 3x²y?dx,

A: Given differential equation is bernaulli's differential equation.,  and we can solve it by reducing…

Q: 1. ſ f(x)f'(x) dx 2. S Vx³ dx 3. S csc?x dx

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Q: a) Find the particular antiderivative that satisfies the following conditions:…

A: dxdt=8et-3x0=5

Q: Determine the derivative of y=| 3e2x with respect to x ((x+1) (Inex² O Integrato the fo IL

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Q: find dy/dx 3x² +5y'x² +4/y, a) x² +4x,/y-5y² = 3 (ans.: 2x 10x'y- Jy

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Q: Find dz/dx for the equitation xe^z +ze^y= x+y

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Q: d*y y = -x' + 5x Find dx d'y %3D

A: Given that: y=-x4+5x

Q: You are solving a boundary value problem using the finite difference method. One boundary condition…

A: Detailed explanation:For this we need to develop the approach to achieve global error for the…

Q: 2. Use central difference approximations to estimate the first and second derivatives of y = ex at x…

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Q: How do I use the Bernoulli sub for the eq:   (  x^2 ) (dx/dt)= x^2t+3x^3 and where x( 0) =2 thanks…

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Q: Hi, I'm struggling with how to solve this problem. The partial derivative esepcially is making it…

A: Consider,∂x∂​(4e4xy)Take the constant out of the partial derivative,4∂x∂​(e4xy)use the…

Q: Find h'(x) if rsin 2x t2 cost dt h(x) = J3 %3D

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Q: 5. Consider the function f(x)=e*, calculate df/dx with finite difference using forward and central…

A: We can solve this using formula of central difference and

Q: Find y'. 2 O|N 9 y=x + 2x

A: Given value,     y=