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Beliebt Rechnen >

8y^{''}-8y^'+4y=0

Lösung

8 y^{^{''}} - 8 y^{^{'}} + 4 y = 0

Lösung

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

Schritte zur Lösung

8 y^{''} (t) - 8 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=9-(3y)/(250)

\frac{d y}{d x} = 9 - \frac{3 y}{250}

derivative Y(x)=e^{4x+3}

d er i v a t i v e Y (x) = e^{4 x + 3}

d/(dy)(sqrt(y^2-1))

\frac{d}{d y} (y^{2} - 1)

integral of 1/(x^2sqrt(x^2-13))

\int \frac{1}{x ^{2} x ^{2} - 13} d x

(dy)/(dx)=14xe^6x(36+y^2)

\frac{d y}{d x} = 14 x e^{6} x (36 + y^{2})