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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

3y^{'''}+17y^{''}+31y^'+14y=0

2y^{''}-3y^'+1/2 y=0

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

(d^2f)/(dx^2)=a^2f(x)