y^'=0.1y,y(0)=1

Lösung

y^{^{'}} = 0.1 y, y (0) = 1

y = e^{0.1 t}

Schritte zur Lösung

y^{'} (t) = 0.1 y

Solve separable ODE:

y = e^{0.1 t}

y = e^{0.1 t}

y^{^{'}} + 2 t y = 4 t

\frac{d y}{d x} = 5 x^{3} y

y^{^{'}} = \frac{1}{2} (y^{2} + 1)

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

\frac{d y}{d x} + 3 x y = 0