y^'+2xy=13x

Lösung

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

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

Schritte zur Lösung

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}

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

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

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

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

\frac{d y}{d x} = x \cdot e^{y}, y (2) = 0