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Beliebt Rechnen >

y^{''}+9y= 1/(sin(3t))

Lösung

y^{^{''}} + 9 y = \frac{1}{sin ( 3 t )}

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) - \frac{1}{3} t cos (3 t) + \frac{1}{9} ln (sin (3 t)) sin (3 t)

Schritte zur Lösung

y^{''} (t) + 9 y = \frac{1}{sin ( 3 t )}

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) - \frac{1}{3} t cos (3 t) + \frac{1}{9} ln (sin (3 t)) sin (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) - \frac{1}{3} t cos (3 t) + \frac{1}{9} ln (sin (3 t)) sin (3 t)

Graph

Beliebte Beispiele

integral of 2x-9

\int 2 x - 9 d x

derivative of sin^3(x+cos^3(x))

\frac{d}{d x} (sin^{3} (x) + cos^{3} (x))

derivative of x^3+y^3-9xy

\frac{d}{d x} (x^{3} + y^{3} - 9 x y)

integral of 6x^2ln(x)

\int 6 x^{2} ln (x) d x

integral of 1/(9x^2-4)

\int \frac{1}{9 x ^{2} - 4} d x