Aha! So i get a simple second degree equation: 64x^{2}-50x+4=0
Thanks :)
But I'm thinking now that these numbers were 'convenient'...are there other ways to solve this if the numbers don't play along this nicely?
Homework Statement
Problem: find t in the following equation
Homework Equations
64000e^{-1600t}+4000e^{-400t}=50000e^{-1000t}
The Attempt at a Solution
I know the answer: t=6.17\cdot\;10^{-4}s. But I'm struggling with how to get there. This is my attempt:
Factorizing down to...
(x^2+1)y'=x^2+x-1+4xy
How can I solve this equation analytically?
I have almost no idea. I thought that y might be a series...please help :)
Homework Statement
Homework Equations
The Attempt at a Solution