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Beliebt Rechnen >

((d^2y)/(dx^2)+4(dy)/(dx)+20y)^2=0

Lösung

(\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

Lösung

y = e^{- 2 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

Schritte zur Lösung

(\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

Solve linear ODE:

y = e^{- 2 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

y = e^{- 2 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

Graph

Beliebte Beispiele

y^{''}-9y^'-22y=0

y^{^{''}} - 9 y^{^{'}} - 22 y = 0

y^{''}-y^'+3y=0

y^{^{''}} - y^{^{'}} + 3 y = 0

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

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

y^{'''}+6y^{''}+12y^'+8y=0

y^{^{'''}} + 6 y^{^{''}} + 12 y^{^{'}} + 8 y = 0

(D^{3} + 1) y = 0