What is the solution for x(dv)/(dx)= 2/v+v ?

The solution for x(dv)/(dx)= 2/v+v is v=sqrt(c_{1)x^2-2},v=-sqrt(c_{1)x^2-2}

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x(dv)/(dx)= 2/v+v

x \frac{d v}{d x} = \frac{2}{v} + v

v = c_{1} x^{2} - 2, v = - c_{1} x^{2} - 2

Solution steps

x \frac{d v}{d x} = \frac{2}{v} + v

Solve separable ODE:

v = c_{1} x^{2} - 2, v = - c_{1} x^{2} - 2

v = c_{1} x^{2} - 2, v = - c_{1} x^{2} - 2

\frac{d y}{d x} = 2 y + x (e^{3 x} - e^{2 x})

\int_{0}^{π} π (sin (x))^{2} d x

e^{- t} - e^{- 2 t}

n = 0 \sum \infty 5 (\frac{2}{3})^{n - 1}

x \to 0 lim (x cot (3 x))

What is the solution for x(dv)/(dx)= 2/v+v ?
The solution for x(dv)/(dx)= 2/v+v is v=sqrt(c_{1)x^2-2},v=-sqrt(c_{1)x^2-2}