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Beliebt Rechnen >

2y^{''}+3y^'-2y=10x^2-4x-15

Lösung

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 10 x^{2} - 4 x - 15

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 5 x^{2} - 13 x - 22

Schritte zur Lösung

2 y^{''} (x) + 3 y^{'} (x) - 2 y = 10 x^{2} - 4 x - 15

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 5 x^{2} - 13 x - 22

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 5 x^{2} - 13 x - 22

Graph

Beliebte Beispiele

x^{'''}+10x^{''}+33x^'+36x=4te^{-3t}

x^{^{'''}} + 10 x^{^{''}} + 33 x^{^{'}} + 36 x = 4 t e^{- 3 t}

y^{''}-6y^'+9y=12e^tsin(t)

y^{^{''}} - 6 y^{^{'}} + 9 y = 12 e^{t} sin (t)

y^{''}+4y=-16sin(2t)

y^{^{''}} + 4 y = - 16 sin (2 t)

y^{''}+4y^'+13y=52,y(0)=2,y^'(0)=1

y^{^{''}} + 4 y^{^{'}} + 13 y = 52, y (0) = 2, y^{^{'}} (0) = 1

y^{''}+2y^'+5y=3e^{2x}

y^{^{''}} + 2 y^{^{'}} + 5 y = 3 e^{2 x}