1. Solve the nonhomogeneous equation by using the method of variation of pa- rameters. d'y dy + 2y = e cosec dr² dx -2-

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: Solve the equation dy =- 3y + 5x, yci)=4 2

A: The general solution of the differential equation is, y = x³ + c/x² , where c is the constant of…

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: - у = 3x-2 4x-5

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Q: Find the solution to the Bernoulli equation: dy/dx + 2y/x = -x²y³

A: Introduction: One of the earliest differential equations to be solved was the Bernoulli equation,…

Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

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Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: 4. Find / 4 5x² dx. (36x² +20x) 7 ár.

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Q: Solve: y (cosx)= (9+ y²)

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Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

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Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: dy Solve dx (3 minutes) -3y3--3 a. +C 1 Ob. 3y 3 = 3x 3 +c Oc. 3 3 +C 3

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Q: 2a xsin " dx 1.

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Q: dx = 3 cos° x/2sinx

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Q: solve and show steps  dy/dx= 2xy

A: solve and show steps  dy/dx= 2xy

Q: 3. 2X dy 2. %3D

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Q: B) Solve the following equations: y=l+x+e="x

A: We have to find the general solution of the differential equation d3ydx3+27y=1+x+e-7x .