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Beliebt Rechnen >

(2D^2-5D-3)y=0

Lösung

(2 D^{2} - 5 D - 3) y = 0

Lösung

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

Schritte zur Lösung

(2 D^{2} - 5 D - 3) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} + 1960 y = 0

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

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

y^{'''}+9y^{''}+24y^'+16y=0

y^{^{'''}} + 9 y^{^{''}} + 24 y^{^{'}} + 16 y = 0

2x^{''}+16x^'+64x=0,x(0)=0,x^'(0)=0.2

2 x^{^{''}} + 16 x^{^{'}} + 64 x = 0, x (0) = 0, x^{^{'}} (0) = 0.2

y^{''}+10y^'+8y=0

y^{^{''}} + 10 y^{^{'}} + 8 y = 0