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Beliebt Rechnen >

(d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x

Lösung

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative y=x^{3cos(x)}

d er i v a t i v e y = x^{3 c o s (x)}

integral of sqrt(x^5)

\int x^{5} d x

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\int sec (t) (sec (t) - tan (t)) d t

derivative of 1/({f(x)(x)^{-1}(x)})

\frac{d}{d x} (\frac{1}{f ( x ) ( x ) ^{- 1} ( x )})

d s = 2 s d t