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Beliebt Rechnen >

y^{''}+9y=12sin(3t)

Lösung

y^{^{''}} + 9 y = 12 sin (3 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) - 2 t cos (3 t)

Schritte zur Lösung

y^{''} (t) + 9 y = 12 sin (3 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) - 2 t cos (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) - 2 t cos (3 t)

Graph

Beliebte Beispiele

limit as x approaches 2 of (x^3)/3-7x^2

x \to 2 lim (\frac{x ^{3}}{3} - 7 x^{2})

f (y) = y^{4}

(d^2)/(dx^2)(sec(pi/4))

\frac{d ^{2}}{d x ^{2}} (sec (\frac{π}{4}))

integral of sec(x)tan(x)-9e^x

\int sec (x) tan (x) - 9 e^{x} d x

integral from 1 to 3 of x^2e^x

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