Using Laplace transform, find the solution of the initial value problem. 2y + y = 0, y (0) = –3 4.

Q: y"7y' + 10y = 9 cos t + 7 sin t ; y(0) = 5, y'(0) = -4

A: We have to solve the given differential equation by using Laplace Transformation.

Q: (2s-8.4) find the inverse transform of s2+0.4s–0.21 -

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Q: Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo…

A: We solve given simultaneous equation by using Laplace transform.

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

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Q: 3e-2t, where x(0) = *(0) = 0 Q2. Find the response of a system * + 5x + 6x = a. Obtain the transfer…

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Q: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

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Q: -t yい-yle1-224) yloloo, y'lo).3

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Q: e^3(t+2)/2. Find laplace transform of the function

A: Let's find Laplace transform of given function.

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: 15. Find the value(s) of y such that the solution of the initial-value problem y" – 4 y = sin x;…

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Q: Transform the differential equation 9y" +14-81 - 126y= 5et y(0) = 0 3/(0) = 0 3'(0) = 1 into an…

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Q: Solve for x(t) and y(t). dx dt ==x+3y, x(0)=2, y(0)=3 dy dt = 5x+3y

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Q: · y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0

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Q: Use Laplace transform technique to solve y+2y+2y=e, y(0) = 3, y (0)=-3

A: We need to use Laplace transform to solve this differential equation.

Q: Which of the following is the inverse Laplace transform of s(s^2 - Use the choices as guide on what…

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Q: Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4

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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: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

A: The objective is to find the inverse laplace transform of s+1s2+6s+10 First write the denominator as…

Q: 3. Which of the following is the Laplace transform of sin (2t) - 2tcos (2t) ? A. s^2 / (s^2 + 4) ^2…

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Q: 7/2 Q5:-(3t°-2t* – te 3sin 6t +4 cos 4t)eC + t e3t -St As 360 48 (S-2)5 (s-2)5 18 (s-2)²+36 4(S-2)…

A: Answer of question (i) has  typing error

Q: Find the Fourier Transform of x(t) = e-t² and solve fe-t² dt

A: To Do: Find the Fourier Transform of xt=e-t2. Also, solve ∫-∞∞e-t2dt.

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

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