This one can't be too tricky, have you tried to solve the non homogenous version of this D.E?
It may be worth reading this thread http://www.mathhelpforum.com/math-he...ial-38182.html
I have 3 questions and NO TIME.
I'll be sucking on one of the exam desks just a few hrs later.
Pls help me coz late studies may bring me just a few points...
1) x²y'' + xy' - y = xlnx maybe about euler
2) y'' – 2y' + y = x-½ ex
3) ty''+(1-2t)y'-2y=0 y(0)=1 , y'(0)=2 Laplace
Pls help me
This one can't be too tricky, have you tried to solve the non homogenous version of this D.E?
It may be worth reading this thread http://www.mathhelpforum.com/math-he...ial-38182.html
Ok, I see. Did not know about this type of differential equation was also Euler's.
The way an Euler differential equation is transformed into a linear ODE is by substituting or .
So substitue this for x on the right hand side.
The new differential equation is (where all the derivatives are now w.r.t. t):
Solve this differential equation to get something of the form:
Now substitute in to get the final solution.
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See what i did under the line for =0. I think it's true.