What is the solution for (dy)/(dx)=(2xy)/(sqrt(1+x^2)) ?

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

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(dy)/(dx)=(2xy)/(sqrt(1+x^2))

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

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

Solution steps

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

Solve separable ODE:

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

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

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