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Popular >

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

Solution

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

Solution

v = - \frac{1}{ln ( x ) + c _{1}}

Solution steps

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

Solve separable ODE:

v = - \frac{1}{ln ( x ) + c _{1}}

v = - \frac{1}{ln ( x ) + c _{1}}

Graph

Popular Examples

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(dx)/(dt)=xsin(t),x(0)=3

\frac{d x}{d t} = x sin (t), x (0) = 3

Frequently Asked Questions (FAQ)

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