13. x" = -2x + 2y, y" = 2x - 5y; x(0) = 2, x ' (0) = 3, y(0) = 1, y' (0) = 2

Q: y" - 5y' +6y=et; y(0) = 0; y'(0) = 2

A:

Q: y" - 3y' =f(t), y(0) = 1, y'(0) - 1 %3D 8 Given L{f(t)}= S-2 2 S+1

A: Given initial value problem is y''−3y'=ft, y0=1,y'0=−1 And given Lft=8s−2−2s+1 We know that…

Q: Example 7.5 Determine the Inverse Laplace Transform of the following expressions using Partial…

A: We use the table of Laplace transform to solve the given question.

Q: 14. x" + y = -101 sin(10t) ; y " + x = 101 sin(10t) ; x(0) = 0, x ' (0) = 6, y(0) = 8, y' (0) = -6

A:

Q: use the laplace transform to solve

A: Hi! As per norm we will be answering only the first question since both of the solutions are long.…

Q: -t yい-yle1-224) yloloo, y'lo).3

A:

Q: t¢ (0, 5 te (0, 5 æ' (t) + 3.x (t) = f (t), x (0+) = -2, ƒ (t) = 10 sin t

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Q: s2 +s - 2 X(s) : (s2 + 8s + 15)

A: According to the given information, it is required to find the inverse laplace transform.

Q: t3 - 3t2 + 5t – 8

A:

Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

Q: f(t) = e-2tsin²tcos²t

A:

Q: y" + y = -2 sin t + 10 8(t – 7), y(0) = 0, y'(0) = 1.

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Q: a"(t) + 16x(t) = 5 sin t, a'(0) = x(0) = 0 %3D

A: First we have to take Laplace transform of the given equation.

Q: y" + 2y" + y' = eº, y(0) = 0, y'(0) = 1, y"(0) =

A: laplace transform

Q: 5 sinh (3t) +4 cosh (3t)

A:

Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: SO, 18, 0st<1 y' + y = f(t), y(0) = 0, where f(t) t2 1

A:

Q: y" (t) + 8y'(t) + 25y(t) 0; y(0) = 1, y(0) = 2

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Q: Use Laplace transform to solve the initial value problem of the ff DE.

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Q: 2y" + 12y' + 19y %3D 0, У(0) %3D 2, у'(0) %3D 0

A:

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: d?y = v2sin/2t; with y(0) = 10, y(1)(0) = 0 %3D dt2

A:

Q: Suppose that one selects some subset of integers from the set {1, 2, ., 47). What is the smallest…

A:

Q: Solve the initial value problem using the Laplace transform.

A: Given initial value problem is y'''(t)+5y''(t)+9y'(t)+5y(t)=t2ety(0)=0, y'(0)=0, y''(0)=-2…

Q: y" + 4y = 26(t – T), y(0) = 1, 3'(0) = 0

A:

Q: f(t) = t²sinh3t

A:

Q: 3 cos(wt - a), where w and a are constants

A: We find the Laplace transform

Q: The charge of the condenser Q(t) = 1(t)dt is the rate of change of the current I. %3D other words, I…

A:

Q: y" - 4y' + 4y = cos(t); y(0) = 1, y'(0) = -1

A: Given:The initial value problem is given by,                To Find:We have to solve the given…

Q: use the Laplace transform to solve the initial value problem.

A: To solve using Laplace transform, first take laplace transform and use the following functions to…

Q: Laplace solves the Initial Value Problem Find by transform.

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Q: y" +y = 8(t- 2m), y(0) = 0, y'(0) = 1 %3D

A: