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Second order differential equation

  • Thread starter sara_87
  • Start date
  • #1
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Homework Statement



find the general solution to the second order ode:
x4y''+2x3y'+y=0

Homework Equations



using Euler's method

The Attempt at a Solution



assume that the solution is y=xa
then y'=axa-1 and y''-a(a-1)xa-2
substituting these into the ode:
a(a-1)xa+2axa+xax-2=0
which gives
a2+a+x-2=0

and this is where i got stuck.
thank you
 

Answers and Replies

  • #2
HallsofIvy
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?? You say "use Euler's method". That is a numerical method of solving differential equations. What you are doing has nothing to do with Euler's method.
 
  • #3
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I think i made a mistake. I thought when we use the assumption y=x^a that this is called Euler's method. but now i know it has nothing to do with it :)
 

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