Solve the differential equation: y" – 21y' – 72y = e24= 1 e24x 24 -3z y = C1e + Cze²4z Oy = Cje-3 + Cze²4z 1 + 28 -3z 1 y = C¡e + Cze24z + 24x 26

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A: The main objective of the question is to establish relation between x and y.

Q: c. x²y″ − 3xy' +4y=0, _y(1)=5, y′(1)=3. - - d. x²y" — 5xy' + 8y =8x6, y(½)=0, y′(½¹⁄) = 0.

A: (c) A differential equation is given by, x2y''-3xy'+4y = 0 with initial conditions y1 = 5 and y'1 =…

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A: Hello, thanks for your question but according to our policy I am answering the first three subparts…

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A: Given the differential equation is (x + 2y - 1) dx + (2x + 4y - 3) dy = 0; when x = 2 and y = -1.

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Q: Find a general solution to the differential equation. y"(0) + 16y'(0) + 65y(0) = 2 e - 80 cos 0 The…

A: First find the complementary function C.F. for the D.E. Consider the auxiliary equation A.E to…

Q: / solve the differential equation by the Laplace: (One only) 1- y" - 3y' + 2y = 4e2t y(0) = -3 ,…

A: As per our guidelines we are supposed to answer one question only. For the solution of the question…

Q: alfae 102 K/s & ll45 | 4:33 PM The solution of the following separable differential equation y' =…

A: To find  The solution to the given separable differential equation

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Q: yl" +4y/+3y =1

A: we will solve this by using Laplace transformation. Consider the equation y''+4y'+3y=1. Take Laplace…

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A: As per instructions we are allowed to answer only three subparts. Complementary solution : It is the…

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A: We are going to step2 :

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A: Let us consider the differential equation of the form dydx=f(x)g(y) Then to solve the equation using…

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Q: Solve the differential equation and find the domain: xydy/dt +3x2 + y2 = 0 , y(3) = 8

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Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

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A: The objective is to find the solution of the differential equation.

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Q: Consider the differential equation: y" – 10/ + 24y = 8e cos(2r) – 6e sin(2x). a. Find the general…

A: Given that y''-10y'+24y=8e4xcos2x-6e4xsin2x (a) Now take, y''-10y'+24y=0 Take m=ddx…

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Q: Solve the differential equation (x+3)−¹ cos (y) dx - [sin (y) In |5x + 15|-y-¹] dy = 0 cos (y) dx a.…

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Q: 3. Show that the differential equation (cos z + 2y) dy + (r³ – y sin z) dr = 0 is an exact equation…

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