Question

if a=2 +4x +8x^2 , b= -3 - 5x + x^2 , find a+b and a-b​

Answer 1

Answer:

Consider the initial value problem x"+ 4x = f(t), x(0) = a, x'(0) = b. (a) Use Laplace transforms to solve the initial value problem for arbitrary f(t) when a = b = 0 (write your answer as an integral). What is the transfer function of the differential equation? (b) Use Laplace transforms to solve the initial value problem for arbitrary a and b when f(t) = 0. (c) What is the solution of the problem x" + 4x = f(t), x(0) = a, x'(0) = b witharbitrary a, b