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Beliebt Rechnen >

3y^{''}-2y^'-y=x^2

Lösung

3 y^{^{''}} - 2 y^{^{'}} - y = x^{2}

Lösung

y = c_{1} e^{x} + c_{2} e^{- \frac{x}{3}} - x^{2} + 4 x - 14

Schritte zur Lösung

3 y^{''} (x) - 2 y^{'} (x) - y = x^{2}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- \frac{x}{3}} - x^{2} + 4 x - 14

y = c_{1} e^{x} + c_{2} e^{- \frac{x}{3}} - x^{2} + 4 x - 14

Graph

Beliebte Beispiele

D (t) = t + 5

y^{''}+2y^'-y=t^{-1}e^t

y^{^{''}} + 2 y^{^{'}} - y = t^{- 1} e^{t}

y^{''}-2y^'+2y=sin(t),y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 2 y = sin (t), y (0) = 0, y^{^{'}} (0) = 1

y^{''}-5y^'+6y=3x^2+5x

y^{^{''}} - 5 y^{^{'}} + 6 y = 3 x^{2} + 5 x

y^{''}+2y^'-3y=5e^{2x},y(0)=0,y^'(0)=a

y^{^{''}} + 2 y^{^{'}} - 3 y = 5 e^{2 x}, y (0) = 0, y^{^{'}} (0) = a