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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- \frac{x}{2}} + \frac{x}{3} - \frac{14}{9}

Schritte zur Lösung

2 y^{''} (x) - 5 y^{'} (x) - 3 y = 3 - x

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- \frac{x}{2}} + \frac{x}{3} - \frac{14}{9}

y = c_{1} e^{3 x} + c_{2} e^{- \frac{x}{2}} + \frac{x}{3} - \frac{14}{9}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=4t+e^{3t}

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 t + e^{3 t}

y^{''}-5y^'-24y=(t+1)e^t

y^{^{''}} - 5 y^{^{'}} - 24 y = (t + 1) e^{t}

5y^{''}+y^'=-4x,y(0)=0,y^'(0)=-25

5 y^{^{''}} + y^{^{'}} = - 4 x, y (0) = 0, y^{^{'}} (0) = - 25

3y^{''}+2y^'-y=23

3 y^{^{''}} + 2 y^{^{'}} - y = 23

y^{''}-y^'-6y=45cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 45 cos (3 x)