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