Find the particular solution of the following differential equation:dxdy=1+x2+y2+x2y2,given that y=1 when x=0.

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Find the particular solution of the following differential equ

Question

Find the particular solution of the following differential equation: $\frac{d y}{d x} = 1 + x^{2} + y^{2} + x^{2} y^{2},$ given that $y = 1$ when $x = 0 .$

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Michael Discussed

Find the particular solution of the following differential equation:

\frac{d y}{d x} = 1 + x^{2} + y^{2} + x^{2} y^{2},

given that

y = 1

when

x = 0 .

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Question Text

Find the particular solution of the following differential equation:

\frac{d y}{d x} = 1 + x^{2} + y^{2} + x^{2} y^{2},

given that

y = 1

when

x = 0 .