What is the solution for (1+x^2)((dy)/(dx))-2xy=0 ?

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

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(1+x^2)((dy)/(dx))-2xy=0

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

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

Solution steps

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

Solve separable ODE:

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

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

\int_{\frac{π}{2}}^{π} x - sin (x) d x

\frac{d y}{d x} = \frac{3 x}{4 y}

sec (3 sin (2 x))

x \to 0 lim (e^{x} - 1)

(- 3, - 7), (2, 3)

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