Solve using Laplace transform (y(2) – 10y(1) + 9y = 5t (b) y(0) = -1, y()(0) = 2 %3D %3D

Q: Suppose solving an equation by Laplace transform results in Y(s) = s2 + 64' Evaluate y(7).

A: We have to solve given problem:

Q: use laplace transform to solve y'-y=2cos(t), y(0) = 4

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Q: Find the inverse laplace transform of the problem L-[- u+1 (u+1)²+1! L[f(u}] = F(t)

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Q: Consider the functions a(z) and B(x) = e +e- In this question, you may freely use the fact that 8…

A: Inverse function theorem  If f is invertible function then f-1x'=  1f'f-1x

Q: dy = et. dt Find the solution when y(0)=2 using the method of Laplace transform

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Q: Solve x"(t)+3x'(t)+2x(t) = u(t - 2), with x(0)-0 and x'(0)-0 using the method of Laplace transform.…

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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: Solve using the Laplace transform y' + 2y = 12 e3t , y(0) = 3

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Q: using Laplace transform. S=10h 'T=coh Ft = ht+by - banjos (8)

A: The given differential equation is:y''-4y'+4y=4cos2t;  y0=2,  y'0=5. We have to solve using Laplace…

Q: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: g(t) = 8t4e5tu(-t)

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Q: y''+9y=10e-t,y(0)=0,y'(0)=0 by laplace transform

A: The objective of this question is to solve the given second order differential equation using…

Q: Solve the IVP y""+y'=e*, y(0) = y'(0) =y" (0) = 0 using Laplace transform.

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Q: solve: y" - Hý + 4y = 4szt; y(0)=2₁ y(a)=5 using Laplace transform

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Q: x^2y′′ + (3/2xy′ + [(1/36)x^2/3 − 7/144]y = 0 z = (1/2)x^1/3, w = yx^1/4 Solve it using the…

A: The transform method can be used to find the solution to the differential equation x^2y′′ + (3/2xy′…

Q: Using Z-transforms, y(k+1)+y(k) given that y(0) = 2. solve the following difference equation: = 14k

A: Solving the z tranform equation

Q: Use Laplace transform to solve the following IVP y′′(t) = 4y(t) −e^(−t)U(t −1), y(0) = y′(0) = 0.

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Q: Find Solution of Homogeneous linear ODE s (D°, 60 +131 Jy

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Q: Solve using Laplace transform y" - y = e' cost, y(0)= 0, y'(0)=0

A: Solve the differential equation by using lapalce transformation

Q: Transform the differential equation Therefore Y = into an algebraic equation by taking the Laplace…

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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: Determine the constants a, p, yo and y'o so that 3S +3 Y(s) = (s + 2)² is the Laplace transform of…

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Q: A radioactive material went through a decaying process as given in the following function f(t): f(t)…

A: If the input variable t of a function changes, its output also changes. In this problem, the…

Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

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Q: Using Laplace transform, solve y"+25y=t, y(0)=1 and y'(0)=0.04

A: Given that, y''+25y=t, y(0)=1, y'(0)=0.04 The laplace transform for, Ly''=s2y(s)-sy(0)-y'(0)Lt=1s2…

Q: When the Laplace transform is used to solve the IVP: y' +5 y=314, y(0) = 2 1/4+ the following…

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Q: Transform the function y=(1)/(2)x right 6 and vertical shrink of (1)/(4)

A: The given function is y=12x. To transform the function rightwards by 6 units and to shrink…

Q: Q3:- (4) Solve the following differential equation: y³ −3y¹ +3y″ − y" = x² 1 (B) Find the inverse…

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Q: x' + æ = 9+ 5(t – 2), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} help…

A: Given that, x'+x=9+δ(t-2),x(0)=0 To find the laplace transform for the given equation, Take,…