(dx)/(dt)=tx-2x+t-2

Lösung

\frac{d x}{d t} = t x - 2 x + t - 2

x = e^{\frac{t ^{2}}{2} - 2 t + c_{1}} - 1

Schritte zur Lösung

\frac{d x}{d t} = t x - 2 x + t - 2

Solve separable ODE:

x = e^{\frac{t ^{2}}{2} - 2 t + c_{1}} - 1

x = e^{\frac{t ^{2}}{2} - 2 t + c_{1}} - 1

x \to 0 lim (\frac{1 - cot ( x )}{\frac{1}{x}})

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