Question

Solve the equation (1+x²)dy-(1+y?) dx = 0 E (1+x²)dy--(1+ y²) dx = 0

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Maths

Solution

124

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( frac{d y}{d x}=frac{1+y^{2}}{1+x^{2}} ) ( Rightarrow int frac{d y}{1+y^{2}}=int frac{d x}{x^{2}+1}+c ) ( Rightarrowleft[tan ^{-1} y=tan ^{-1} x+cright. )