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Beliebt Rechnen >

y^{''}+16y=8sin(4t)

Lösung

y^{^{''}} + 16 y = 8 sin (4 t)

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t) - t cos (4 t)

Schritte zur Lösung

y^{''} (t) + 16 y = 8 sin (4 t)

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) - t cos (4 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t) - t cos (4 t)

Graph

Beliebte Beispiele

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

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

y(t+5)(t+2)y^'+t+3=0

y (t + 5) (t + 2) y^{^{'}} + t + 3 = 0

derivative y=(sqrt(x)-10)^{-3}

d er i v a t i v e y = (x - 10)^{- 3}

derivative f(x)= x/(x+4)

d er i v a t i v e f (x) = \frac{x}{x + 4}

integral of 1/((x-1)(x^2+3))

\int \frac{1}{( x - 1 ) ( x ^{2} + 3 )} d x