Recent content by Mabbott608

What is mathematica?

Thanks...i did so and got an answer! So far, i have completed two methods successfully yet they both produce a slightly different answer. I have yet to plug them into the original but I am curious, does this happen when various methods are used?

I have used the cauchy-euler with variation of parameters with success. I have been informed by a friend and now jackmell to use the substitution u=y'. unfortunately i do not know how that is worked out. if i let u=y' then the order of the equation is reduced. does that mean i can just solve...

Homework Statement x*y'' - y' = 3x^2 The Attempt at a Solution so far i have used cauch-euler and solved it. i was trying to use linear de and power series to solve, but with little success. Am i on the right track? If not, which method should i be using to find the solution?

I have to find three ways of solving the equation x*y'' - y' = 3x^2 So far, I have tried Cauchy-Euler with success and am now working on using series solutions (although I do not know a series for 3x^2). And for a final way of solving I am completely lost.

title is pretty much the jist of it.