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Beliebt Rechnen >

(d^2y)/(dx^2)+5(dy)/(dx)+6y=12e^x

Lösung

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 12 e^{x}

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 12 e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{'}} + 100 y = 0

sum from n=1 to infinity of 2^n*3^{-n}

n = 1 \sum \infty 2^{n} \cdot 3^{- n}

integral of sqrt(6x+5)

\int 6 x + 5 d x

limit as h approaches 0 of 6x+3h

h \to 0 lim (6 x + 3 h)

derivative of 1+sqrt(2x)

\frac{d}{d x} (1 + 2 x)