Solving a homogeneous first-order ordinary differential eqn

  • Thread starter Aceix
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  • #1
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Homework Statement


dy/dx = (x+4y)2

Homework Equations




The Attempt at a Solution


I substitute y=ux, where u is a function of x, and I'm not a ble to solve. My intention was to arrive at a seperable form, but I'm not achieving it.[/B]
 

Answers and Replies

  • #2
ehild
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Try the substitution u=x+4y.
 
  • #3
LCKurtz
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@Aceix Your problem is assuming your DE is homogeneous. Homogeneous in this sense means ##f(tx,ty) = f(x,y)##. That does't work for ##f(x,y)=(x-4y)^2##.
 
  • #4
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Thanks a lot! I've got it now.
 

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