The solution of the differential equation using dy Laplace transform dt + 5y = 5 is ,given that y(0) = 0 O 1- e-st O 1- e5t O 1-e-5t O 1+e-5t

Q: Solve the following differential equation using Laplace transform, d?y -7 + 10y = e2*+20, knowing…

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Q: By using Laplace transform to solve y" + y = e with y (0) y (0) = y" (0) = 0, what would be Laplace…

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Q: dx Use the Laplace transform to solve the given system of differential equations. =x-2y dt dy dt…

A: Using Laplace transform, we can solve the given problem.

Q: 36. If f(t)=4 sin² 3t, then the Laplace Transform of f(t) is t (A) In +36 +36 (B) In (C) In (D) In…

A: 36) Given that taking Laplace transform both sides ,we get because now…

Q: Using the Laplace transform method, solve for t> 0 the following differential equation: d²x dx + 5a…

A: Given second order differential equation d2xdt2+αdxdt+βx=0 Solution of a differential equation…

Q: d³x + 2d²x - dx -2x=4+e²t dx+ 207 de dt³ dt² dt x(0)=1, x'(0)=0, x’’(0)= -1

A: The given initial value problem, d3xdt3+2d2xdt2-dxdt-2x=4+e2t with the initial conditions x0=1,…

Q: Use the Laplace transform to solve the given system of differential equations. dx = 4x - 2y + 2U(t –…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.