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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - \frac{2}{17} sin (t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - \frac{2}{17} sin (t)

y = c_{1} e^{4 t} + c_{2} e^{- 4 t} - \frac{2}{17} sin (t)

Graph

Beliebte Beispiele

y^{''}+4y=3cos(2)

y^{^{''}} + 4 y = 3 cos (2)

y^{''}-4y^'+5y=e^2x,y(0)=1,y^'(0)=3

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{2} x, y (0) = 1, y^{^{'}} (0) = 3

8y^{''}-y^'+y+x^2=0

8 y^{^{''}} - y^{^{'}} + y + x^{2} = 0

y^{'''}-9y^{''}+27y^'-27y=8e^{3x}

y^{^{'''}} - 9 y^{^{''}} + 27 y^{^{'}} - 27 y = 8 e^{3 x}

(d^2x)/(dt^2)+81x=8sin(9t)

\frac{d ^{2} x}{d t ^{2}} + 81 x = 8 sin (9 t)