y^'=yt^2-1.1y,y(0)=1

Lösung

y^{^{'}} = y t^{2} - 1.1 y, y (0) = 1

y = e^{0.33333 \dots t^{3} - 1.1 t}

Schritte zur Lösung

y^{'} (t) = y t^{2} - 1.1 y

Solve separable ODE:

y = e^{0.33333 \dots t^{3} - 1.1 t}

y = e^{0.33333 \dots t^{3} - 1.1 t}

y^{^{'}} = \frac{3 t ^{2}}{4 + 2 y}

y^{^{'}} = y x^{2} - 1.1 y

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

y^{^{'}} + 4 y = 2

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