2. Find a particular solution Y(t) of y"" - 2y" - v' + 2y = t

Q: 1. Find the general solution of y"" — 2y" — y' + 2y = 0

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Q: 2. Find the general solution of y" - 2y" - y' + 2y = 0

A: 2. Find the general solution of y'''-2y''-y'+2y=0

Q: 3. Find the general solution to y" – 3y' – 4y = 3x².

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Q: Find a particular solution to y" + 4y' + 3y = -16te²".

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Q: y" (t) + 2y' + y(t) = 8t²e-t.

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Q: Find general solution of " – y – 2y = e2t

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Q: Find a general solution to y" +3y"-y'-3y=0.

A: Here we have to find a general solution to  y'''+3y''-y'-3y=0

Q: Find y(x)  y"-8y'-20y=0

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Q: Use undetermined coefficients to find the particular solution to y'' + 2y' – 4y = 2t + 2 Yp(t) =

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Q: b, y" -zy'-3y= e*

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Q: Y, = Ax² is particular solution of y' + y" = 1 for A = %3D

A: Here, yp=Ax2yp'=2Axyp''=2Ayp'''=0

Q: Find the general solution of y" – y' – 2y = cosh 2t.

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Q: Find solution of IVP y" - 4y - 5y = 0 y(1) = 8, y'(1) = -5.

A: Given the differential equation is                        y''-4y'-5y=0, y(1)=8, y'(1)=-5.

Q: y" – 3y' + 2y = 2x² + 1

A: The Solution is given below

Q: Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y = 0, then so is y = C₁y₁ + C2y2 for…

A: Given that  and  are solutions of .The objective is to verify that  is also a solution where  and…

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A: It is required to obtain the second the solution using the first solution by method of reduction.…