Solve the differential equation `(dy)/(dx)=1+x+y^(2)+xy^(2)`, when y=0 and x=0.

Explanation

To solve the differential equation

\[ \frac{dy}{dx} = 1 + x + y^2 + xy^2 \]

with the initial condition \( y(0) = 0 \) and \( x(0) = 0 \), we can follow these steps:

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