(dy)/(dx)+7xy=4x

Lösung

\frac{d y}{d x} + 7 x y = 4 x

y = \frac{e ^{\frac{- 7 x ^{2} + c _{1}}{2}}}{7} + \frac{4}{7}

Schritte zur Lösung

\frac{d y}{d x} + 7 x y = 4 x

Solve separable ODE:

y = \frac{e ^{\frac{- 7 x ^{2} + c _{1}}{2}}}{7} + \frac{4}{7}

y = \frac{e ^{\frac{- 7 x ^{2} + c _{1}}{2}}}{7} + \frac{4}{7}

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

\frac{d v}{d t} = 6 - 2 v

4 \frac{d y}{d x} + y^{2} = 4

\frac{d y}{d x} = 3 y (1 - \frac{y}{6})

\frac{d x}{d t} + x = 0