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Popular >

xy^2-y^'x^2=0

Solution

x y^{2} - y^{^{'}} x^{2} = 0

Solution

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

Solution steps

x y^{2} - y^{'} (x) x^{2} = 0

Solve separable ODE:

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

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

Popular Examples

integral of (3/(x^3)+2x^{3/2}-1)

\int (\frac{3}{x ^{3}} + 2 x^{\frac{3}{2}} - 1) d x

limit as x approaches 0 of (e^{3x}-e^{-3x})/(4x)

x \to 0 lim (\frac{e ^{3 x} - e ^{- 3 x}}{4 x})

derivative of x^3-15x^2+72x+12 derivative of

x^{3} - 15 x^{2} + 72 x + 12

derivative of 1/(1/x)

\frac{d}{d x} (\frac{1}{\frac{1}{x}})

integral from 0 to 3 of 2piy(9-y^2)

\int_{0}^{3} 2 π y (9 - y^{2}) d y

Frequently Asked Questions (FAQ)

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