y^'=120-2y

Lösung

y^{^{'}} = 120 - 2 y

y = - e^{- 2 t - c_{1}} + 60

Schritte zur Lösung

y^{'} (t) = 120 - 2 y

Solve separable ODE:

y = - e^{- 2 t - c_{1}} + 60

y = - e^{- 2 t - c_{1}} + 60

y^{^{'}} = 135 x^{2} y + 18 x y + 30 x^{2} + 4 x

y^{^{'}} = x y - x

(x^{2} y^{2}) d x - \frac{1}{x y} d y = 0

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

\frac{d y}{d x} = \frac{x}{e ^{- y} ( 1 + x ^{2} ) ^{4}}