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Beliebt Rechnen >

(D^4-2D^2)y=0

Lösung

(D^{4} - 2 D^{2}) y = 0

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} + c_{4} x

Schritte zur Lösung

(D^{4} - 2 D^{2}) y = 0

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} + c_{4} x

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} + c_{4} x

Graph

Beliebte Beispiele

y^{''}+4y^'+13y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y (0) = 1, y^{^{'}} (0) = 2

y^{''}-4y^'-5y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

x^{''}+4x=0,x(0)=8,x^'(0)=-13

x^{^{''}} + 4 x = 0, x (0) = 8, x^{^{'}} (0) = - 13

4y^{''}+9y^'-9y=0

4 y^{^{''}} + 9 y^{^{'}} - 9 y = 0

(d^3-5d^2+4d-20)x=0

(d^{3} - 5 d^{2} + 4 d - 20) x = 0