Diff. Eq. problem

  • #1
Problem:

y'=f(at+by+c) where a,b, and c are constants. Show that the substitution of x=at+by+c changes the equation to the separable equation x'=a+bf(x). Use this method to find the general solution of the equation y'=(y+t)^2


I really have no clue on this one. If someone could start me off in the right direction that would be great. I'm not seeing how they get that separable eq.
 

Answers and Replies

  • #2
93
0
Try writting the substitution as
[tex] x-at-c = by [/tex]
Now take the derivative with respect to what I am assuming is the independent variable, t. The result should pop out at you.
 

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