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}}

\frac{2 x}{3}

\frac{1}{x} + x^{2} - 2

\frac{s}{s ^{2} - k ^{2}}

\frac{d}{d x} ((x^{2} - 8 x + 8) e^{\frac{9 x}{8}})

(1 - x)^{- 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}}