y^'=-3ye^t,y(0)=1

Lösung

y^{^{'}} = - 3 y e^{t}, y (0) = 1

y = e^{- 3 e^{t} + 3}

Schritte zur Lösung

y^{'} (t) = - 3 y e^{t}

Solve separable ODE:

y = e^{- 3 e^{t} + 3}

y = e^{- 3 e^{t} + 3}

2 x y^{2} - x^{2} y + (2 y - x) y^{^{'}} = 0

y^{^{'}} + x^{3} y = 0, y (0) = e

y^{^{'}} = \frac{y}{x + x ^{2}}

y^{^{'}} = e^{x} sec (y)

y^{\frac{7}{2}} \frac{d y}{d x} - y^{3} = - y^{\frac{9}{2}}