Hey I have been trying to figure out this equation for a while now:

Solve for u & the initial conditions of u(0)=9

du/dt=e^(5u+10t)

I have tried taking the natural log of both sides to eliminate the e and isolate the 5u+10t but then the left side of the equation gives me a problem, since I don't know how to work with ln(du/dt). Any help on just solving for u would be fine, since using the initial conditions should not be a problem.

Thank you!