Solve using (a) analytical method, (b) Euler's Method, dy=x²y - 1.1y

Q: y"+y' - 2y = x2

A: Solution :-

Q: solve using method of undetermined coefficients 2y'+4y=3cos(2t), y(0)=0

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Q: _y"+y' = 0

A: To find the complete solution for the differential equation  using reduction and then the First…

Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

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Q: y y' + y? = x-2 X

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Q: Given the Bernoulli's equation Dy/DX+yP(x)=y^n Q(x) and x=y^1-n, reduce the equation to the linear…

A: Given differential equation is                                           dydx+yP(x)=ynQ(x);  x=y1-n…

Q: 6z dy (78)a

A:

Q: p" +2y' – xy = 0 n(x)= e

A: Given

Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Solve the equation y" + 25y = 75, y(0) = 0, y' (0) = 1.

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Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: (D² – DD' + D)z= 1 1- Solve

A: Here the given equation is non homogeneous partial differential equation with constant…

Q: x’y" – 3xy' +3 y=3 ln x- 4 y(1)= 0 y'(1) = 1

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Q: y" +9y = sin(3x)

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Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: Find the general solution of the equation

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Q: 1. Use the variation of parameters method to solve the equation y" + y = secx.

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Q: Solve (1+x)x²y"-(1+2x)xy'+(1+2x)y=0

A: According to guidelines we can do only first question thank you.We have to solve differential…

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

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Q: (1 + t2)(dy/dt) + t · y = (1 + t2)5/2. Find general solution. SHOW ALL STEPS PLEASE. I DON'T KNOW…

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Q: Solve the y" + 2y + y = x², y(0) = 1, y'(0) = 2.

A: Given initial value problem isWe have to solve the above IVP.

Q: Solve 24-4x²³/dx + xdy = 0 using the integrating factor M = 2² SPOXK

A: Solve 2(y - 4x2)dx +x dy=0, Using the integrating factor μ=e∫P(x) dx.

Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: We have fx=4x3+3x2-8x-2 The initial interval is 1,2 The error tolerance is 1%=1100=0.01 So, we need…