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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{3 x}{2}} + c_{2} e^{- x} + e^{2 x} x - \frac{7}{3} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{3 x}{2}} + c_{2} e^{- x} + e^{2 x} x - \frac{7}{3} e^{2 x}

y = c_{1} e^{\frac{3 x}{2}} + c_{2} e^{- x} + e^{2 x} x - \frac{7}{3} e^{2 x}

Graph

Beliebte Beispiele

y^{''}+y=x^2+1,y(0)=3,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 3, y (1) = 0

D(D+3)y=x(5+e^x)

D (D + 3) y = x (5 + e^{x})

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

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

y^{''}-y=e^tcos(t),y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{t} cos (t), y (0) = 0, y^{^{'}} (0) = 0

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

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