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Beliebt Rechnen >

(D^3+D^2+4D+4)y=0

Lösung

(D^{3} + D^{2} + 4 D + 4) y = 0

Lösung

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

Schritte zur Lösung

(D^{3} + D^{2} + 4 D + 4) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^4y)/(dx^4)+y=0

\frac{d ^{4} y}{d x ^{4}} + y = 0

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

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

y^{'''}+y^{''}+y^'=0

y^{^{'''}} + y^{^{''}} + y^{^{'}} = 0

4(d^2y)/(dx^2)+64y=0

4 \frac{d ^{2} y}{d x ^{2}} + 64 y = 0

(d^2y)/(dx^2)+k^2y=0

\frac{d ^{2} y}{d x ^{2}} + k^{2} y = 0