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Beliebt Rechnen >

3y^{''}+12y=-4sin(2t)

Lösung

3 y^{^{''}} + 12 y = - 4 sin (2 t)

Lösung

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

Schritte zur Lösung

3 y^{''} (t) + 12 y = - 4 sin (2 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=x^2+1,y(0)=4,y(1)=0

y^{^{''}} - y = x^{2} + 1, y (0) = 4, y (1) = 0

y^{''}-8y^'+15y=225x

y^{^{''}} - 8 y^{^{'}} + 15 y = 225 x

y^{^{''}} - 3 y = e^{x}

y^{''}+y^'+y=sinh(x)

y^{^{''}} + y^{^{'}} + y = sinh (x)

(d^2y)/(dt^2)-4y=tcos(2t),y=0,t=0

\frac{d ^{2} y}{d t ^{2}} - 4 y = t cos (2 t), y = 0, t = 0