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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

(d^2y)/(dx^2)-10(dy)/(dx)+26y=0

y^{''}-6y^'+13y=0,y(0)=-3,y^'(0)=1

y^{''}-25y^'+144y=0