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Beliebt Rechnen >

y^'+3y=1-6e^{-2x}

Lösung

y^{^{'}} + 3 y = 1 - 6 e^{- 2 x}

Lösung

y = \frac{1}{3} - \frac{6}{e ^{2 x}} + \frac{c _{1}}{e ^{3 x}}

Schritte zur Lösung

y^{'} (x) + 3 y = 1 - 6 e^{- 2 x}

Solve linear ODE:

y = \frac{1}{3} - \frac{6}{e ^{2 x}} + \frac{c _{1}}{e ^{3 x}}

y = \frac{1}{3} - \frac{6}{e ^{2 x}} + \frac{c _{1}}{e ^{3 x}}

Graph

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