Solve the differential equation or initial value problem using the method for undetermined constants and variation of parameters.

Solve the differential equation using the method of variation of parameters.
Solve the differential equation or initial-value problem using the method for undetermined constants.
y''-4y=e^x cosx y(0)=1, y'(0)=2

y''+y'- 2y=x - sin 2x y(0)=1, y'(0)=0

y'' + y = cot x 0<x<pi/2
See attached file for full problem description.

Attachments

Solution Summary

ODEs and IVPs are solved. The solution is detailed and well presented.