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Beliebt Rechnen >

y^{'''}-y^'=9sin(t)

Lösung

y^{^{'''}} - y^{^{'}} = 9 sin (t)

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + \frac{9}{2} cos (t)

Schritte zur Lösung

y^{'''} (t) - y^{'} (t) = 9 sin (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + \frac{9}{2} cos (t)

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + \frac{9}{2} cos (t)

Graph

Beliebte Beispiele

y^{''}-2y^'=7cos(3t),y(pi)=5,y(0)=0

y^{^{''}} - 2 y^{^{'}} = 7 cos (3 t), y (π) = 5, y (0) = 0

(d^2x)/(dt^2)+6(dx)/(dt)+5x=e^{-t}

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 5 x = e^{- t}

y^{''}-2y^'+y=(e^t)/(t^3)

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{t ^{3}}

y^{''}+2y^'=3xe^x

y^{^{''}} + 2 y^{^{'}} = 3 x e^{x}

y^{''}-2y^'-3y=3

y^{^{''}} - 2 y^{^{'}} - 3 y = 3