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Beliebt Rechnen >

(d^2y)/(dt^2)+9y=12cos(3t)

Lösung

\frac{d ^{2} y}{d t ^{2}} + 9 y = 12 cos (3 t)

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + 9 y = 12 cos (3 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=5t^2-9,y(0)=0,y^'(0)=-2

y^{^{''}} + y = 5 t^{2} - 9, y (0) = 0, y^{^{'}} (0) = - 2

y^{''}+4y=x*sin^2(x)

y^{^{''}} + 4 y = x \cdot sin^{2} (x)

y^{''}+9y=cos(t),y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = cos (t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 6 y^{^{'}} = 2

y^{^{''}} + 6 y^{^{'}} = 1