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Popular >

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

Solution

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

Solution

y = e^{- \frac{2}{x} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- \frac{2}{x} + c_{1}}

y = e^{- \frac{2}{x} + c_{1}}

Graph

Popular Examples

derivative of f(x)=a^x derivative of

f (x) = a^{x}

limit as x approaches 2 of 3x^2+5x

x \to 2 lim (3 x^{2} + 5 x)

(\partial)/(\partial x)(e^{ax})

\frac{\partial}{\partial x} (e^{a x})

derivative of f(x)=(e^{4x})/(x^{12)}derivative of

f (x) = \frac{e ^{4 x}}{x ^{12}}

integral from 0 to 1 of t^3

\int_{0}^{1} t^{3} d t

Frequently Asked Questions (FAQ)

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