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Beliebt Rechnen >

y^{''}+9y=2sin(2t)

Lösung

y^{^{''}} + 9 y = 2 sin (2 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{2}{5} sin (2 t)

Schritte zur Lösung

y^{''} (t) + 9 y = 2 sin (2 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{2}{5} sin (2 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{2}{5} sin (2 t)

Graph

Beliebte Beispiele

fläche x^2,sqrt(x),0,1

a re a x^{2}, x, 0, 1

(dy)/(dx)=y(550-y)

\frac{d y}{d x} = y (550 - y)

integral of 1/(sin^2(a)x)+c

\int \frac{1}{sin ^{2} ( a ) x} + c d x

integral of (25sqrt(x^2-16))/(x^4)

\int \frac{25 x ^{2} - 16}{x ^{4}} d x

derivative y= 2/(3x^4)

d er i v a t i v e y = \frac{2}{3 x ^{4}}