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    First order homogenous differential equation.

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    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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    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:


    and integrate both sides.


    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.