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Solve the following differential equatio...

Solve the following differential equation: `(1+e^(2x))dy+(1+y^2)e^xdx=0`

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To solve the differential equation \( (1 + e^{2x}) dy + (1 + y^2)e^x dx = 0 \), we will follow these steps: ### Step 1: Rearranging the Equation We start by rearranging the terms to separate the variables \( y \) and \( x \): \[ (1 + e^{2x}) dy = - (1 + y^2)e^x dx \] ...
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