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Beliebt Rechnen >

y^{''}+4y^'+3y=65sin(2t)

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 65 sin (2 t)

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 3 t} - sin (2 t) - 8 cos (2 t)

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 3 y = 65 sin (2 t)

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 3 t} - sin (2 t) - 8 cos (2 t)

y = c_{1} e^{- t} + c_{2} e^{- 3 t} - sin (2 t) - 8 cos (2 t)

Graph

Beliebte Beispiele

derivative f(x)=3-x

d er i v a t i v e f (x) = 3 - x

fläche x^2+1,x,[0,1]

a re a x^{2} + 1, x, [0, 1]

(\partial)/(\partial x)(3xy^2-2y+5x^2y^2)

\frac{\partial}{\partial x} (3 x y^{2} - 2 y + 5 x^{2} y^{2})

tangent f(x)=sqrt(x+3),\at x=-2

t an g e n t f (x) = x + 3, at x = - 2

d er i v a t i v e s^{2}