### Fundamental set of solutions of a Differential Equation : Verify that e^x Cos(2x) and e^x Sin(2x) form a fundamental set of solutions of the differential equation [ y'' - 2y + 5y = 0 ] on the ...

Verify that e^x Cos(2x) and e^x Sin(2x) form a fundamental set of solutions of the differential equation [ y'' - 2y + 5y = 0 ] on the interval (- infinity, infinity). With the e^x the "x" is the only upper score in the problem. The Cos and Sin are on the regular line of the problem.