I have to solve the given Dif. EQs with the initial conditions that are given.
But, the hard part is I'm not allowed to use the same method twice. (That is, I can only use separation of variables once, variation of parameters once, etc).
That leaves me with #4... how can I solve this without using undetermined coefficients, separation of variables and integrating factor.. there's a method that is something involving constant coefficients, but not sure how to use that. I think I find y_c first and then y_p after... I can easily find y_c..its trying to find y_p that's hard.
And so our integrating factor is:
Multiply by both sides of the equation.
Now this is where things get fuzzy. Is it just:
And then take integrals of both sides (which the integral of the derivative on the left will just leave what that is, so I just have to integrate the right side)...or is this step wrong?