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Popular >

(xdy)/(dx)=-y+2x^2y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral of (5x-7x^2+4)/((x-2)^2(x+1))

\int \frac{5 x - 7 x ^{2} + 4}{( x - 2 ) ^{2} ( x + 1 )} d x

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

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

integral of (e^{3x})/3

\int \frac{e ^{3 x}}{3} d x

derivative of y=sqrt(x)(x-1)derivative of

y = x (x - 1)

limit as x approaches 1-of (-2)/(x^2-1)

x \to 1 - lim (\frac{- 2}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

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