Solve for the particular solution of the ODE y" + 4y' + 3y = sin(e^x). O a. yp = [-e^(-2x) * sin(e^x)] - [e^(-3x) * cos(e^x)] O b. yp = [e^(-2x) * sin(e^x)] - [e^(-3x) * cos(e^x)] c. yp = [e^(-2x) *...

Extracted text: Solve for the particular solution of the ODE y" + 4y' + 3y = sin(e^x). O a. yp = [-e^(-2x) * sin(e^x)] - [e^(-3x) * cos(e^x)] O b. yp = [e^(-2x) * sin(e^x)] - [e^(-3x) * cos(e^x)] c. yp = [e^(-2x) * sin(e^x)] + [e^(-3x) * cos(e^x)] O d. yp = [-e^(-2x) * sin(e^x)] + [e^(-3x) * cos(e^x)]