y^'=0.1y

Lösung

y^{^{'}} = 0.1 y

y = e^{0.1 t + c_{1}}

Schritte zur Lösung

y^{'} (t) = 0.1 y

Solve separable ODE:

y = e^{0.1 t + c_{1}}

y = e^{0.1 t + c_{1}}

y^{^{'}} = \frac{1}{e ^{y}}

d y = e^{2 y} + 1 d x

\frac{d y}{d x} = e^{x} sin (2 y)

\frac{d y}{d x} = \frac{x}{y}, y (3) = 5

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