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Beliebt Rechnen >

3y^{''}-6y^'+6y=0

Lösung

3 y^{^{''}} - 6 y^{^{'}} + 6 y = 0

Lösung

y = e^{t} (c_{1} cos (t) + c_{2} sin (t))

Schritte zur Lösung

3 y^{''} (t) - 6 y^{'} (t) + 6 y = 0

Solve linear ODE:

y = e^{t} (c_{1} cos (t) + c_{2} sin (t))

y = e^{t} (c_{1} cos (t) + c_{2} sin (t))

Graph

Beliebte Beispiele

integral of (4x^2)/(\sqrt[3]{x^3-6)}

\int \frac{4 x ^{2}}{3 x ^{3} - 6} d x

derivative f(x)=arcsin(8t)

d er i v a t i v e f (x) = arcsin (8 t)

derivative of 1/4 e^x+e^{-x}

\frac{d}{d x} (\frac{1}{4} e^{x} + e^{- x})

derivative of (dy/(dx))+4y=0

\frac{d}{d x} (\frac{d y}{d x}) + 4 y = 0

integral of (sin^2(x))/(sqrt(x))

\int \frac{sin ^{2} ( x )}{x} d x