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Beliebt Rechnen >

(d^2y)/(dx^2)+2(dy)/(dx)-3y=6

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 6

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 6

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} + y = 10

4y^{''}+y=e^{-2t}cos(t/2)+6tsin(t/2)

4 y^{^{''}} + y = e^{- 2 t} cos (\frac{t}{2}) + 6 t sin (\frac{t}{2})

linear y^{''''}-2y^{'''}+y^{''}=t^3

l in e a r y^{^{''''}} - 2 y^{^{'''}} + y^{^{''}} = t^{3}

y^{^{''}} - y - x = 0

(D^2+2)y=e^{x+2}

(D^{2} + 2) y = e^{x + 2}