Question:medium
If $x(1+y^{2})\,dx + y(1+x^{2})\,dy = 0$ and $y(0) = 1$, then $x^{2}y^{2} + x^{2} + y^{2}$ equals
If $x(1+y^{2})\,dx + y(1+x^{2})\,dy = 0$ and $y(0) = 1$, then $x^{2}y^{2} + x^{2} + y^{2}$ equals
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After integrating and finding the general solution, always substitute the initial condition to determine the constant before simplifying the expression.
Updated On: Apr 8, 2026
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The Correct Option is B
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