**Example:** Find the solution to

**Answer:** This is a linear equation. First we have to rewrite the
equation with no function in front of *y*'. We get

,

which may also be rewritten as

.

Hence, the integrating factor is given by

Therefore, the general solution can be obtained as

Since we have

we get

The initial condition implies

,

which gives *C*=-1. Therefore, the particular solution to the initial
value problem is

**
**

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