What is the value of y'(0) for the solution with initial value y(0) = 2?

Q: y' = (1-x)y²+(2x-1)y-x a special solution of the equation y1(x)=1, Find the general solution of the…

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Q: Solve 2y'" + 9y' + 4y = 0, y(0) = 8, y'(0) = 14.5 %3D y(t) =

A: Given 2y"+9y'+4y=0 ; y(0)=8 ; y'(0)=-14.5 We need to solve the given differential equation.

Q: y' = et ; y(0) = 2 find the general solution

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: Solve (c) y" + 4y = 0, (d) (1+y/2)3 = (y')².

A: Solution is given below:

Q: y = xy' – y* + 1 find general solution and particular solution.

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Q: x(y')2 - 2(y')3 - 2x - y = 0 find the general solution of the equation

A: Given differential equation is, xy'2-2y'3-2x-y=0 Let, the given equation be, y'=dydx=p Thus,…

Q: Solve y' = 12xy 2х, у(0) — 15 -

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Q: Find the general solution to (t² + 4)y' + 2ty = t²(t² + 4). Enter your answer as y = .... Use C to…

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Q: Solve: y' + 7y +9y' +9y=0 y(x)

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Q: Solve IVP: y'''+4y'=x, y''(0)=1; y'(0)=0.

A: Given : y'''+4y'=x

Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

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Q: y' +y = x*y2 , y(2) = -1,x >0 is

A: Given, The initial value problem is,

Q: Q4- Solve y"- 4y' + 13y 3x.e*

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Q: y' = 5y + e-2*y¬2

A: The differential equation is given as , y'=5y+e-2xy-2 find the solution.

Q: Solve: y"-6y'+8y= 24t – 58 y(0) = −11, y'(0) = −13 y(t) =

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Q: 2. Solve y" + 2y' – 3y = 3, y(0) = y'(0) = 1. II %3D %3D

A: given differential equation is linear non homogeneous differential equation with constant…

Q: solve: y'' - 5y' + 4y = 20cos(2x) + 30sin(2x) y(0) = 1 y'(0) = 3

A: We have to solve the differential equation given below : y'' - 5y' + 4y = 20cos(2x) + 30sin(2x) ,…

Q: y (4) + 32y"+256y = 0 y(0) = 2, y'(0) = 0, y"(0) = -16, y""(0) = 128

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Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

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Q: Solve: y''' — 5y'' — y' + 5y = 0 y(0) -6, y'(0) y(t) = = = 16, y''(0) = - 78

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Q: Solve y''+ 3y' – 10y = 0, y(0) = - 6, y'(0) = y(t) =

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