What is the solution for ye^{2x}-(1+e^{2x})(dy)/(dx)=0 ?

The solution for ye^{2x}-(1+e^{2x})(dy)/(dx)=0 is y=c_{1}sqrt(1+e^{2x)}

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ye^{2x}-(1+e^{2x})(dy)/(dx)=0

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

y = c_{1} 1 + e^{2 x}

Solution steps

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

Solve separable ODE:

y = c_{1} 1 + e^{2 x}

y = c_{1} 1 + e^{2 x}

\frac{d y}{d x} + y cos (x) = 8 cos (x)

y^{^{'}} = y - (\frac{1}{1000}) y^{2}

\frac{d y}{d x} = cos^{2} (x) cos^{2} (2 y)

y^{^{'}} = \frac{x}{y}, y (0) = 0

y^{^{'}} = \frac{7 x ^{2} - 1}{7 + 5 y}

What is the solution for ye^{2x}-(1+e^{2x})(dy)/(dx)=0 ?
The solution for ye^{2x}-(1+e^{2x})(dy)/(dx)=0 is y=c_{1}sqrt(1+e^{2x)}