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Beliebt Rechnen >

y^{''}+9y=3tan(3x)

Lösung

y^{^{''}} + 9 y = 3 tan (3 x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2 cos ( 3 x ) ( - ln ( tan ( 3 x ) + sec ( 3 x ) ) + sin ( 3 x ) ) - sin ( 6 x )}{6}

Schritte zur Lösung

y^{''} (x) + 9 y = 3 tan (3 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2 cos ( 3 x ) ( - ln ( tan ( 3 x ) + sec ( 3 x ) ) + sin ( 3 x ) ) - sin ( 6 x )}{6}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2 cos ( 3 x ) ( - ln ( tan ( 3 x ) + sec ( 3 x ) ) + sin ( 3 x ) ) - sin ( 6 x )}{6}

Graph

Beliebte Beispiele

derivative of \sqrt[4]{(x^2+1/(x^2-1)})

\frac{d}{d x} (4 \frac{x ^{2} + 1}{x ^{2} - 1})

d/(ds)(s/(s^2+1))

\frac{d}{d s} (\frac{s}{s ^{2} + 1})

integral of sqrt(m+ny)

\int m + n y d y

limit as x approaches e of ln|3x|

x \to e lim (ln ∣ 3 x ∣)

ydx+(ycos(x/y)-x)dy=0

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