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Beliebt Rechnen >

y^{''}-4y^'-12y=0

Lösung

y^{^{''}} - 4 y^{^{'}} - 12 y = 0

Lösung

y = c_{1} e^{6 t} + c_{2} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 12 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- 2 t}

y = c_{1} e^{6 t} + c_{2} e^{- 2 t}

Graph

Beliebte Beispiele

d er i v a t i v e 2 y

implicit (dy)/(dx),y=arccos(4x^2)

im pl i c i t \frac{d y}{d x}, y = arccos (4 x^{2})

integral of 3sin(2x)cos(3x)

\int 3 sin (2 x) cos (3 x) d x

integral from 0 to 4 of ((4-x)sqrt(x))

\int_{0}^{4} ((4 - x) x) d x

(dy)/(dx)=e^{4x}-3y

\frac{d y}{d x} = e^{4 x} - 3 y