Differential Equations Question

Question

Solve the separable differential equation for u:

du/dt = e^(4u+9t)

Use the following initial condition: u(0)=4

 

u = ?

Answer 1

du = e^4u+9tdt

 

du = e^4ue^9tdt

 

e^-4udu = e^9tdt

 

The variables are now separated, and you will easily solve this problem now.