1. ## Solving Differential Equations

My calculus is just finishing up "Differential Equations" and we have an on-line assignment. I've done all the other questions correctly except for one. It doesn't make sense to me but hopefully someone here can help.
The question is:
Find the solution to the differential equation:
dz/dt = 9te(^6z)
that passes through the origin.

z= [ln (-27(t^2) - C)]/-6
but I can't figure out how to get C or get the appropriate answer.

2. Originally Posted by starryeyed
My calculus is just finishing up "Differential Equations" and we have an on-line assignment. I've done all the other questions correctly except for one. It doesn't make sense to me but hopefully someone here can help.
The question is:
Find the solution to the differential equation:
dz/dt = 9te(^6z)
that passes through the origin.