Linear Equations: Answer to Example 3

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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Last Update 6-22-98

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