Problem 9. Show that y(x) = cos(x)7 sin(x) is a particular solution to the non-homogeneous differential equation

y y 6y = 50sin(x). Problem 10. Solve the initial value problem

y y 6y = 50sin(x); y(0) = 6; y(0) = 2.

Problem 9. Show that y(x) = cos(x) -7 sin(x) is a particular solution to the non-homogeneous differential equation y" - y' - by = 50 sin(x). Problem 10. Solve the initial value problem y" - y' - by = 50 sin(x); y(0) = 6; y'(0) = -2