(dy)/(dx)-2y=y

Lösung

\frac{d y}{d x} - 2 y = y

y = e^{3 x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} - 2 y = y

Solve separable ODE:

y = e^{3 x + c_{1}}

y = e^{3 x + c_{1}}

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

y^{^{'}} = \frac{y}{x} - y, y (1) = \frac{1}{e}

e^{2 x} y^{^{'}} = x cos^{2} (y)

\frac{d v}{d t} = 2 v

(y - 2) y^{^{'}} = 3 x - 5