Solving y'(t)=y(t)³+f(t) for y(t)

  • Level: Graduate 
  • Thread starter Thread starter bpcraig
  • Start date Start date
  • Tags Tags
    First order Nonlinear
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 3K views
bpcraig
Messages
2
Reaction score
0
Maybe I'm just dumb...

[tex] y'(t)=y(t)^3+f(t)[/tex]

find [tex]y(t)[/tex]

Thanks...
 
Physics news on Phys.org
bpcraig said:
Maybe I'm just dumb...

[tex] y'(t)=y(t)^3+f(t)[/tex]

find [tex]y(t)[/tex]

Thanks...
Welcome bpcrai.
Try substituting z =1/y^2 if permissible. If the magnitude of z is large in the range, we can neglect a constant & separate the variables.

P.S. : I'm afraid everybody's dumb at solving nonlinear differential equations. ;)