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Beliebt Rechnen >

2y^{''}+3y^'-2y=10x^2-8x-15

Lösung

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 10 x^{2} - 8 x - 15

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 5 x^{2} - 11 x - 19

Schritte zur Lösung

2 y^{''} (x) + 3 y^{'} (x) - 2 y = 10 x^{2} - 8 x - 15

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 5 x^{2} - 11 x - 19

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 5 x^{2} - 11 x - 19

Graph

Beliebte Beispiele

y^{''}+49y=-5cos(7t+pi/3),y(0)=0,y^'(0)=0

y^{^{''}} + 49 y = - 5 cos (7 t + \frac{π}{3}), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+6y^'+13y=x^2

y^{^{''}} + 6 y^{^{'}} + 13 y = x^{2}

y^{''}+9y=6cos(3x)+9sin(3x)

y^{^{''}} + 9 y = 6 cos (3 x) + 9 sin (3 x)

y^{'''}+7y^{''}+8y^'-16y=-2e^x-2

y^{^{'''}} + 7 y^{^{''}} + 8 y^{^{'}} - 16 y = - 2 e^{x} - 2

x^{'''}+3x^{''}+x^'+3x=t^2

x^{^{'''}} + 3 x^{^{''}} + x^{^{'}} + 3 x = t^{2}