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 $x = 0 .$

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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 .

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Question Text

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 .

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