Consider the differential equation 4y 4y y 0 ex 2 xex 2

Last updated: 3/13/2023

Consider the differential equation 4y 4y y 0 ex 2 xex 2 Verify that the functions ex 2 and xex 2 form a fundamental set of solutions of the differential equation on the interval The functions satisfy the differential equation and are linearly independent since W ex 2 xex 2 Form the general solution y 0 for x 0