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Popular >

x^2y^'=y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(dx)/(dy)+2yx=y

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

(dx)/(dt)=18-(72x)/(100)

\frac{d x}{d t} = 18 - \frac{72 x}{100}

y^'+((10^3))/4 y-2*10^3=0

y^{^{'}} + \frac{( 1 0 ^{3} )}{4} y - 2 \cdot 1 0^{3} = 0

y^'=6y^{-2},y(0)=3

y^{^{'}} = 6 y^{- 2}, y (0) = 3

(dy)/(dx)x^6y+8=y+7

\frac{d y}{d x} x^{6} y + 8 = y + 7

Frequently Asked Questions (FAQ)

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