Use the Laplace transform to solve the given initial-value problem. y' + 5y = et, v(0) = 2 y(t) =

Q: Solve the equation using Laplace transform y" - 6y' +9y t²e³t, y(0) = 2, y'(0) = 6. =

A: Introduction: There are many different ways that are applied to solve an initial value problem. One…

Q: secx 1 Given g(x) : z dt , find g'(x). t2

A: gx = ∫7sexcx1t2dt           = ∫7sexcx t-2 dt        = t-2+1-2+7secx      =t-17secx-1 = secx-1-7-1-1…

Q: Solve the equation subject to the given conditions. d'y dy dx² dx 6y=4, y(0)=3, y'(0)=2

A:

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: A dilation T sends A = (2,3) to A’ = (5,4), and it sends B = (3,−1) to B’ = (7,−4). Where does it…

A: We have, A dilation T sends A = (2,3) to A’ = (5,4) and it sends B = (3,−1) to B’ = (7,−4) Where…

Q: Use the Laplace transform to solve the initial value problem y" + 4y = e2t, y (0) = 1, y' (0) = -1.

A:

Q: Use the Laplace transform to solve the given initial-value problem. y' +2y = e-2t, y(0) = 3 y(t)=

A:

Q: Use Laplace Transforms to solve the initial value problem. x"+x = sin2t; x(0)=0=x'(0)

A: Solution of Intial value problem using Laplace transferom

Q: Using the Laplace transform, solve the differential equation y" + 4y – 5y = e14t such that yo = y% =…

A:

Q: Let g(x) = [" sin(t²) dt- Calculate g' (3).

A:

Q: Apply the method of Laplace transforms to solve the initial-value problem where y(0) = 2. y' - y =…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) = 11,…

A: