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Beliebt Rechnen >

y^{''}+16y=sec(4t)

Lösung

y^{^{''}} + 16 y = sec (4 t)

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{16} ln (cos (4 t)) cos (4 t) + \frac{1}{4} t sin (4 t)

Schritte zur Lösung

y^{''} (t) + 16 y = sec (4 t)

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{16} ln (cos (4 t)) cos (4 t) + \frac{1}{4} t sin (4 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{16} ln (cos (4 t)) cos (4 t) + \frac{1}{4} t sin (4 t)

Graph

Beliebte Beispiele

derivative f(x)=10sqrt(x)

d er i v a t i v e f (x) = 10 x

(dy)/(dx)=(e^{x+y})

\frac{d y}{d x} = (e^{x + y})

(dy)/(dx)-y/x =xsin(x)

\frac{d y}{d x} - \frac{y}{x} = x sin (x)

limit as x approaches 1+of ln(x^3-1)

x \to 1 + lim (ln (x^{3} - 1))

derivative f(x)=5x-9

d er i v a t i v e f (x) = 5 x - 9