(dy)/(dx)+3xy=x

Lösung

\frac{d y}{d x} + 3 x y = x

y = \frac{e ^{\frac{- 3 x ^{2} + c _{1}}{2}}}{3} + \frac{1}{3}

Schritte zur Lösung

\frac{d y}{d x} + 3 x y = x

Solve separable ODE:

y = \frac{e ^{\frac{- 3 x ^{2} + c _{1}}{2}}}{3} + \frac{1}{3}

y = \frac{e ^{\frac{- 3 x ^{2} + c _{1}}{2}}}{3} + \frac{1}{3}

\frac{d y}{d x} + 3 x y = 0

\frac{d y}{d x} = y (x^{2} - 3 x + sin (2 x))^{2}

y^{^{'}} = \frac{x - 2}{y}

sec (x) d y = 2 y + 1 d x

2 x d x + 3 y^{2} d y = 0