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Popular >

x^2(dy)/(dx)=y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of (x^4)/(16)+1/(2x^2)derivative of

\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}}

integral of 1/(sqrt(16-4x^2))

\int \frac{1}{16 - 4 x ^{2}} d x

integral of 1/(2y+1)

\int \frac{1}{2 y + 1} d y

limit as x approaches infinity of (-3)/x

x \to \infty lim (\frac{- 3}{x})

inverse oflaplace 1/(s(s^2+1))inverse laplace

\frac{1}{s ( s ^{2} + 1 )}

Frequently Asked Questions (FAQ)

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