(dy)/(dx)+2xy=x

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\int \frac{1}{24} x^{2} d x

\frac{\partial}{\partial x} (- x + 6 y)

\frac{d}{d x} (ln (5 + ln (x)))

x \to \infty lim (5 e^{x})

\frac{\partial}{\partial x} (7 x^{6 y})