What is a particular solution to the differential equation (du)/dt=(2t+sec^2t)/(2u) and u(0)=-5?
3 Answers
Explanation:
applying the IV
Explanation:
Start by multiplying both sides by
Now integrate:
These integrals aren't too complicated, but if you have any questions on them do not be afraid to ask. They evaluate to:
We can combine all the
We are given the initial condition
Thus the solution is
Explanation:
Grouping variables
Integrating both sides
but considering the initial conditions
and finally