(dx)/(dy)+3x=25

Lösung

\frac{d x}{d y} + 3 x = 25

x = - \frac{e ^{- 3 y - c_{1}}}{3} + \frac{25}{3}

Schritte zur Lösung

\frac{d x}{d y} + 3 x = 25

Solve separable ODE:

x = - \frac{e ^{- 3 y - c_{1}}}{3} + \frac{25}{3}

x = - \frac{e ^{- 3 y - c_{1}}}{3} + \frac{25}{3}

y^{^{'}} + \frac{y}{5} = 3, y (- 3) = 0

y^{^{'}} + \frac{y}{- 10} = 0

x \cdot y^{^{'}} = 2 y ln (y)

y^{^{'}} = 7 x^{6} e^{- y}

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