2 =1+y, y = 26(t – 1) + 4x,

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A:

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A:

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A: The given differential equation is xy3dx+ex2dy=0. We have to obtain a general solution.

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Q: Find the general solution to t²y" +2ty' - 2y = 0 given that y₁ (t) = t is a solution.

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A: To solve the given differential equation with given initial conditions: y¨+t3y˙+3t2y=0;y0=0,y˙0=−1

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A: Topic :- Differential equation

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Q: Find the L{y(t)}, given the initial value problem y" - 3y' + 2y = t - 2; | y(0) = 0, y'(0) = 1 %3D…

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A: Given difeerential equation, (x2+x)dy=3dx

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: The given differential equation is,  dydt+4y=2et-4e-t, y(0)=0

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A: To find the general solutions of given differential equations

Q: Obtain the genral solution. (D³ +5D²+7D+3)y=0 y=eX(C₁-C₂x) + С3e-³x + С₂e-³x Oy=eX(C₁+C₂x)…

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Q: Find the Solution (1+r)ds + 2sr-3(1+r)dt = 0; when t - 0, s = 2. ® : (1 - P12-e* ®= (1 - s12-e © : =…

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Q: Q4: Find the general solution of d?y dy - 3 - 4y 3e2t + 2sin t - 8et cos 2t, dt dy y(0) = 2, (0) %3…

A: Given that  The differential equation  To find the general solution

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Q: Find the general/particular solution of the follow 1. xy' - y = 2x Inx 2. (1+ x)y' +y = vx 3. t+2y =…

A: The general solution of the differential equations

Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in…

Q: Solve the IVP y + 2y = 0 if t≥ 1 y(0) 1. Is the solution continuous? = "

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Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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Q: 1- , L, v² e*dydx 2- S S マーーー ydxdzdy a>0

A: Explanation of the solution is given below...

Q: What is the equilibrium solution of the equation y '(t) = 2y - 4? Is itstable or unstable?

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Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: 1. The complementary equation to dt² + dy + 4y = 5e-³t is:

A: Solution is here

Q: Find The Pollowrng in tograls:- Excersises 4 ( 2x + 6y x*) dy de (2 (ay + 29) dë dy + +) dy da x+4

A: As per our Guidelines we can solve maximum 3 question as per request , otherwise we solve one…

Q: What is the general solution to the follwoing equation: (4t+5y+4)dt-dy=0

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Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

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Q: Show that xy – 2 = cxy is a solution of (x² + y2 – x)dx – ydy = 0.

A: Given  x2+y2-xdx-ydy=0 dydx=x2+y2-xy

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Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

A: