Solve the differential equation $(1 + e^{2 x}) d y + (1 + y^{2}) e^{x} d x = 0$ given that $y = 1$ when $x = 0$ .

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(1 + x^{2}) \frac{d y}{d x} + (1 + y^{2}) = 0

\frac{d y}{d x} = \frac{2 x (\log x + 1)}{\sin y + y \cos y}

Find the particular solution of the differential equation
$(1 + e^{2 x}) d y + (1 + y^{2}) e^{x} d x = 0$ given that y = 1 when x = 0

(1 + e^{2 x}) d y + (1 + y^{2}) e^{x} d x = 0

y = 1

x = 0

(1 + e^{2 x}) d y + (1 + y^{2}) e^{x} d x = 0

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Solve the differential equation (1+e2x)dy+(1+y2)exdx=0 given that y=1 when x=0.