What is the solution for (dy)/(dx)=-(1+2/x)y ?

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

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(dy)/(dx)=-(1+2/x)y

\frac{d y}{d x} = - (1 + \frac{2}{x}) y

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

Solution steps

\frac{d y}{d x} = - (1 + \frac{2}{x}) y

Solve separable ODE:

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

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

\frac{d y}{d t} - 5 y = 0, y (0) = 2

\frac{d y}{d t} - 5 y = 0, y (0) = 6

(2 x y^{2} + \frac{x}{y ^{2}}) d x + 4 x y d y = 0

\frac{d y}{d x} + 6 x y = 0

x^{3} (1 - y^{3}) d x - 3 y^{2} x^{3} (y d x + x d y) = 0

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