Find y(t) solution of the initial value problem y" - 2y' - 15 y = $(t-2), y(0) = 0, where (t) is the Dirac delta generalized function. y' (0) = -1,

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A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Solve: y''+ 6y' +5y = 20t + 39 y(0) = - 4, y'(0) = 19 | y(t) =

A: The solution is given as

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A: Given equation is, Now, substituting then,

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

Q: Solve y + y = 2y = 0, where y (0) - = 3 and y (0 y(t) =

A: y''+y'-2y=0 Auxiliary eqaution m2+m-2=0

Q: y''-7y +10=0, y(0)= 2 and y'(0) = 4

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Q: The function y = x4 is a solution of the differential equa x²y" - 7xy' + 16 y = 0. Find a second…

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Q: Solve the IVP y"(1) +y'(t)- 2y(1)= 2e' sin(t), y(0) = 1, y'(0) = 1. %3D

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Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: 3. Solve y" – 2y' + 5y = 0, y(0) = 5, y'(0) = –3. %3D

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Q: y' = (x - 1)(y-2), y(2) = 4

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Q: solve the non-homogenous equation y” – 2y’ = t + e^t

A: The given equation is a non-homogeneous second order differential equation. The general solution of…

Q: Solve u' (t) + u(t) = 5 subject to u (2) = -2. 85 Provide an exact expression (i.e. no decimal…

A: Question - solve u'(t) + u(t) = 5 subject to u(2)=-2

Q: Solve (c) y" + 4y = 0, (d) (1+y/2)3 = (y')².

A: Solution is given below:

Q: Solve y''+ 4y = 8(t – 3), y(0) = y'(0) = 0

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Q: Solve: y'"' + 4y'' + 5y' + 2y = 0 y(0) = 4, y'(0) y(t) = = 4, y''(0) = 5

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Q: x'+1 y3= r+1 1. and x+3y = 7 %3D

A: Please refer the attached image for complete solution.

Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

Q: y' +y = x*y2 , y(2) = -1,x >0 is

A: Given, The initial value problem is,

Q: Solve y" + 10y' + 25y = 0, y(0) = 4, y'(0) = – 17 %3| y(t) =

A: We have to find the solution of differential equation.

Q: y" – 10y' + 25y = 0, y(0) = - 4, - 4, y'(0) = - 15 y(t) =

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Q: y" + 4y = 0, y(0) = 1, y'(0) = - 1

A: Given that: y''+4y=0,y0=1,y'0=-1

Q: Find the solution of y" - y" + y' — y = 0, ƒ(0) = 1, ƒ'(0) = 3, ƒ"(0) = 1.

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