10-100x=(20dx)/(dt)

Lösung

10 - 100 x = \frac{20 d x}{d t}

x = \frac{e ^{- 5 t + c_{1}}}{10} + \frac{1}{10}

Schritte zur Lösung

10 - 100 x = \frac{20 d x}{d t}

Solve separable ODE:

x = \frac{e ^{- 5 t + c_{1}}}{10} + \frac{1}{10}

x = \frac{e ^{- 5 t + c_{1}}}{10} + \frac{1}{10}

y^{^{'}} + \frac{12}{280} y = 3

ln (y) d y = x y sin (x) d x

x^{^{'}} x = - \frac{1}{2} (x^{2} - 25)

x \frac{d y}{d x} = \frac{1 - 5 y ^{2}}{3 y}

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