Simple differential equation need help

  • Thread starter seto6
  • Start date
  • #1
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Homework Statement


solve the following differential equation
(y')2 +x3y'-2x2y=0

Homework Equations



non

The Attempt at a Solution


i cant seem to find any way to solve it...
could someone give me a hint pls.!
 

Answers and Replies

  • #2
275
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Some misleading title you have there: "simple differential equation..." :)
 
  • #3
35,138
6,889

Homework Statement


solve the following differential equation
(y')2 +x3y'-2x2y=0

Homework Equations



non

The Attempt at a Solution


i cant seem to find any way to solve it...
could someone give me a hint pls.!

You're sure that you have given us the correct differential equation, right?

If it were y'2 + xy' - 2x2y = 0, you could factor it into (y' + 2xy1/2)(y - xy1/2) = 0, and you could solve each one separately.

Or if you had y'2 + x3y' + 2x2y = 0, you could write this as y'2 + d/dx(x3y) = 0. I'm not sure what you could do with that, though.
 
  • #4
fzero
Science Advisor
Homework Helper
Gold Member
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I seem to find a solution of the form y = a xb, so try that. There's another of the form y = m xn + k too.
 
Last edited:

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