y^'+12/280 y=3

Lösung

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

y = - \frac{e ^{\frac{- 3 t - c _{1}}{70}}}{3} + 70

Schritte zur Lösung

y^{'} (t) + \frac{12}{280} y = 3

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 t - c _{1}}{70}}}{3} + 70

y = - \frac{e ^{\frac{- 3 t - c _{1}}{70}}}{3} + 70

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

\frac{y d y}{d x} + 4 x^{2} + 6 x + 1 = 0