# Homogeneous Equations

#### full

Joined May 3, 2014
225
Hello everyone,
I do this problem from Homogeneous Equations ......
and how I know my answer is true?
thanks

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#### studiot

Joined Nov 9, 2007
4,998

Look again at your integration line.

$$\int {\frac{{dv}}{{{v^3}}}} + \int {\frac{{dv}}{v}}$$

is not what you have.

You add +1 to the index when you integrate or take the ln if the index is -1

When you have the correct general solution you should be able to substitute back for v = y/x to obtain the general solution in terms of the original variables.
Then it is a matter of applying the initial condition y(0)=2

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