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How do I solve this differential Equation

  • #1
41
0

Homework Statement


y3(dy/dx) = (y4 + 1)cosx

2. The attempt at a solution

I solved for the homogeneous equation which is y = Ce-sinx Where C is some constant

for the particular solution I tried Asinx + Bcosx where A and B are constants but when subbing in it's gets very messy.

How should I do this?

Thank you
 

Answers and Replies

  • #3
907
88
Try some algebra to separate the variables and then integrate both sides.
 
  • #4
LCKurtz
Science Advisor
Homework Helper
Insights Author
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Homework Statement


y3(dy/dx) = (y4 + 1)cosx

2. The attempt at a solution

I solved for the homogeneous equation which is y = Ce-sinx Where C is some constant

for the particular solution I tried Asinx + Bcosx where A and B are constants but when subbing in it's gets very messy.

How should I do this?
You shouldn't. That method is for a linear (usually constant coefficient) DE.
 
  • #5
41
0
Thanks for the replies, it was just a simple separation of variables problem. It's strange how you sometimes forget the basics as your knowledge grows.
 
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