# 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