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Beliebt Rechnen >

y^{''}+81y=2sin(at)

Lösung

y^{^{''}} + 81 y = 2 sin (a t)

Lösung

y = c_{1} cos (9 t) + c_{2} sin (9 t) + \frac{2 sin ( a t )}{- a ^{2} + 81}

Schritte zur Lösung

y^{''} (t) + 81 y = 2 sin (a t)

Solve linear ODE:

y = c_{1} cos (9 t) + c_{2} sin (9 t) + \frac{2 sin ( a t )}{- a ^{2} + 81}

y = c_{1} cos (9 t) + c_{2} sin (9 t) + \frac{2 sin ( a t )}{- a ^{2} + 81}

Graph

Beliebte Beispiele

y^{''}+19y=4e^x

y^{^{''}} + 19 y = 4 e^{x}

2y^{''}+3y^'+y=cos(x)

2 y^{^{''}} + 3 y^{^{'}} + y = cos (x)

y^{''}-y^'=8e^x

y^{^{''}} - y^{^{'}} = 8 e^{x}

(d^2y)/(dx^2)+4y=4x^2-4x

\frac{d ^{2} y}{d x ^{2}} + 4 y = 4 x^{2} - 4 x

y^{''}-6y^'+9y=16e^7t,y(0)=7,y^'(0)=4

y^{^{''}} - 6 y^{^{'}} + 9 y = 16 e^{7} t, y (0) = 7, y^{^{'}} (0) = 4