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Beliebt Rechnen >

y^{''}+4y=0,y(0)=4,y^'(0)=1

Lösung

y^{^{''}} + 4 y = 0, y (0) = 4, y^{^{'}} (0) = 1

Lösung

y = 4 cos (2 t) + \frac{1}{2} sin (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = 4 cos (2 t) + \frac{1}{2} sin (2 t)

y = 4 cos (2 t) + \frac{1}{2} sin (2 t)

Graph

Beliebte Beispiele

integral of (cos(9x))

\int (cos (9 x)) d x

derivative of 2xe^x+3sec(x)

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

derivative of ln((ax^n))

\frac{d}{d x} (ln ((a x)^{n}))

(dy)/(dx)=y(1-y),y(0)=8

\frac{d y}{d x} = y (1 - y), y (0) = 8

limit as x approaches 4-of 3x-5

x \to 4 - lim (3 x - 5)