1. Solve the following differential equations: y" -2y-3-0 y + 4y = x. y(0) - O, y'(0)-0 y"-10y' +9y5t, y(0) -1, y'(o) =
Posted: Thu May 05, 2022 7:30 pm
1. Solve the following differential equations: y" -2y-3-0 y + 4y = x. y(0) - O, y'(0)-0 y"-10y' +9y5t, y(0) -1, y'(o) = 2 - 2. Use formula to find Laplace transform of the following functions. f(t) = 4t-10 f(t)- 2²-e-91+ cos(6t) f(t) = t (1-2), where pt-2) is a unit step function. 3. Use formula to find inverse Laplace transform of the following functions. 1 - F(s) = (s+2)² to F(s) = (s+1)² 1 o F(s) = S-4