dy X, dx ey+ x, x>0 ,x >0 II

Q: у" - 9y' %3D 27

A: The solution are next step

Q: (2v2 + 4u2v)du + (4uv + 3u³)dv = 0

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Q: 3. d'y +16y 0 dx y(0) = 2, y (0) =-2 %3D

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Q: 2. (s-s?- t?)ds + (t + s² +t ?)dt = 0 %3D

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Q: Solve the differential equation. dy = 5x* e -y dx

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Q: dy dx 2₁ y x = x + 2√/ X X

A:

Q: olve the d

A: Given,         dxdt=37.5-3.5x

Q: (a). 2t²u" + 3tu'- u = 0,t> 0

A: The given differential equation is,let us substitute t=ez so z=logt and hence

Q: cQl Solve the differetial equat'ron Sin (2x)+ 5 Sin(2x)+ 3 eos (20)

A: As per the question we are given a linear non-homogeneous second order ordinary differential…

Q: Solve the differential equation  4yp2-2px-y=0

A: Given: The differential equation, 4yp2-2px-y=0   To solve: The given differential equation.

Q: y" – 2y' + 5y = 0 ;y(0) = -1,y'(0) = 7

A: The given differential equation is y''-2y'+5y=0 and the initial conditions are y(0)=-1 and y'(0)=-7.…

Q: Solve u'(t) + u (t) = 5 subject to u (2) = −6.

A: given differential equation :-u'(t)+u(t) =5   subject to   u(2) = -6let   u(t)=ythen differential…

Q: d³y 1. dx³ dy + 6у — 0 dx dx²

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Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

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Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: y = Cje² + C2xe* + C3x²e* %D O y" + 3y" + 3y' + y = 0 y" – 3y" + 3y' + y = 0 %3D + 3y" + 3y' – y = 0…

A: Given data is: y=C1ex+C2xex+C3x2ex

Q: x2 + 2x + 1 y' = y +2

A: The given differential equation is: dydx=x2+2x+1y+2 We can solve this ODE by using separation of…

Q: aur + 2xyury + y*uyy = 0

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Q: (4D³ – 7D + 3)y = 0

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Q: Solve the diffesential equation 2ber 十X

A: