Question

Cant solve this initial value differential equation.

Answer 1

\[\frac{ dx }{ dt} = 1- \frac{ x }{ 100+t }\] , x(0)=0

Answer 2

Hey Abe :)\[\large\rm x'=1-\frac{1}{100+t}x\]Hmm maybe we get all our x's on the same side first,\[\large\rm x'+\frac{1}{100+t}x=1\]From here, integrating factor.
You've learned this method or no?

Answer 3

ahh yes, i just completely blanked there. Thanks