Help w/ dy/dt

Question

Find y(t) using the following information.
dy/dt= t^5 + 6e^t ; y(0) = 12

Answer 1

Hint: You need to find the integral of t^5 + 6e^t, and there will be an integration constant. Use y(0)=12 to find the integration constant C.

 

So, y(t)= ∫t⁵ dt   + 6∫e^t dt  + C

 

Try to finish with this info.

 

- Ben