# First order homogenous differential equation.

Find the explicit solution to the ODE 2yy'=(1+y^2) subject to y(0)=4. What is the solution if y(0)=-4?

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#### Solution Preview

Hi There,

Here is the solution, in two formats MS-Word and Adobe pdf.

This is a separable equation, so try to separate it to a form:

f(y)dy=g(x)dx

and integrate both sides.

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To solve the equation:

We rewrite it in ...

#### Solution Summary

The solution shows step by step the method to solve this type of differential equations. The explicit solution to the ODE are calculated.

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