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Beliebt Rechnen >

4y^{''}-16y^'+18y=0

Lösung

4 y^{^{''}} - 16 y^{^{'}} + 18 y = 0

Lösung

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

Schritte zur Lösung

4 y^{''} (t) - 16 y^{'} (t) + 18 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of (25x^2-1/(x+3))

\frac{d}{d x} (\frac{25 x ^{2} - 1}{x + 3})

derivative of (x+2^3)

\frac{d}{d x} ((x + 2)^{3})

limit as z approaches 0 of z^3e^{1/z}

z \to 0 lim (z^{3} e^{\frac{1}{z}})

integral from 1 to 2 of (e^{3/x})/(x^2)

\int_{1}^{2} \frac{e ^{\frac{3}{x}}}{x ^{2}} d x

integral from-2 to 2 of x^3+1

\int_{- 2}^{2} x^{3} + 1 d x