Question

Solve the following initial value problem
dy/dt + y/(100+t) = 5 y(0) = 0 Hints: y(100) = 1500/4

Answer 1

Can I use the separable method here?

Answer 2

use the hint:
dy/dt+1500/200*4=5
this means that dy/dt at t=100 is dy/dt=5-15/8
from here you get \(y=\int( 5-15/8 )dt + C\)