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Popular >

y^'+2xy=13x

Solution

y^{^{'}} + 2 x y = 13 x

Solution

y = \frac{e ^{- x^{2} + c_{1}}}{2} + \frac{13}{2}

Solution steps

y^{'} (x) + 2 x y = 13 x

Solve separable ODE:

y = \frac{e ^{- x^{2} + c_{1}}}{2} + \frac{13}{2}

y = \frac{e ^{- x^{2} + c_{1}}}{2} + \frac{13}{2}

Graph

Popular Examples

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

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

(dy)/(dx)+(xy)/(1-x^2)=(xy^2)/(1-x^2)

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

(df)/(dx)=-f(x)

\frac{df}{d x} = - f (x)

y^{^{'}} = 2 x y (1 + y^{2})

y^'=((xe^x)/(2y))

y^{^{'}} = (\frac{x e ^{x}}{2 y})

Frequently Asked Questions (FAQ)

What is the solution for y^'+2xy=13x ?
The solution for y^'+2xy=13x is y=(e^{-x^2+c_{1}})/2+13/2