I've to find the general solution and determine how the solutions behave as t-->infinity.
d/dt (μ(t)y(t)) = μy'+μ'y
What we need: μ' = -2μ, which is a separable equation with μ=e^(-2t)
Did I do this right and how does it behave?
2. y'+y= te^(-t)+1. I couldn't figure out this one 8(
1. The If c is non negative, then the solution grows exponentially large in magnitude. So the solutions diverge as t gets bigger. The boundary between solutions that ultimately grow negatively occurs when c is negative.
2. uggh...can't figure this one out.