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Popular >

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

Solution

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

Solution

y = e^{- \frac{1}{x} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- \frac{1}{x} + c_{1}}

y = e^{- \frac{1}{x} + c_{1}}

Graph

Popular Examples

derivative of 1/(1-e^{-x})

\frac{d}{d x} (\frac{1}{1 - e ^{- x}})

integral of ecos(x)

\int e cos (x) d x

d/(dy)((ax+by)/(cx+dy))

\frac{d}{d y} (\frac{a x + b y}{c x + d y})

derivative of (2x^{3/2}/3)

\frac{d}{d x} (\frac{2 x ^{\frac{3}{2}}}{3})

integral of (x^2)/(sqrt(7-x))

\int \frac{x ^{2}}{7 - x} d x

Frequently Asked Questions (FAQ)

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