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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(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

(dy)/(dx)=6x^5sqrt(y)

\frac{d y}{d x} = 6 x^{5} y

Frequently Asked Questions (FAQ)

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