- #1
Berrius
- 19
- 0
Homework Statement
Find a solution for:
[tex]u'(t)=c*u(t)^2-c*(a+b)*u(t)+c*a*b[/tex]
The Attempt at a Solution
I've found the solution for the homogeneous equation:
[tex]u_0(t)=(\frac{1}{a+b}+d*e^{c(a+b)t)})^{-1}[/tex]
Where c is a random constant.
Now I've tried the solution [tex]u(t)=x(t)*u_0(t)[/tex], when I fill this in it gets a mess and i can't figure out what x(t) should be.
Can someone help me?