Problem 2 Consider the following ODE: yy+yy=et (a) Solve (by hand) for the complementary solution yc(t). (You may use Matlab or wolframalpha, etc. to factor the auxiliary equation if you like.) (b) Solve (by hand) for a particular solution using undetermined coefficients. (c) Solve (by hand) for a particular solution using variation of parameters. (d) Write down the general solution to this ODE. (e) Solve for the general solution to this ODE in Matlab and confirm that your results are equivalent to the solution you got by hand