= 12. Suppose yı(t) is the solution of the IVP y" + ay' + by = f(t); y(0) = y'0)=0, where a and b are constants. a. Comp
Posted: Thu May 12, 2022 6:59 am
= 12. Suppose yı(t) is the solution of the IVP y" + ay' + by = f(t); y(0) = y'0)=0, where a and b are constants. a. Compute an expression for C[yı]. b. Suppose y2(t) is the solution of the IVP y"+ay'+by = f2(t); y(0)=y'(0)=0 for a different forcing function fu(t). Show that [2] C[fil C[y2]C[y] C. Show that C[92] =4[f21. En. (This says that we can use the solution with any forcing function and zero initial conditions to compute solutions of other forcing functions.)