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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 2 y = 6 x + 6

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} + y^{^{'}} = 8

x^{''}-4x^'+4x=e^tsin(t)

x^{^{''}} - 4 x^{^{'}} + 4 x = e^{t} sin (t)

x^{''}-8x^'+16x=3te^{4t}

x^{^{''}} - 8 x^{^{'}} + 16 x = 3 t e^{4 t}

(D^2-2D-3)y=e^{3x}+cos(x)

(D^{2} - 2 D - 3) y = e^{3 x} + cos (x)

y^{''}+3y^'+7y=cos(t),y(0)=0,y^'(0)=2

y^{^{''}} + 3 y^{^{'}} + 7 y = cos (t), y (0) = 0, y^{^{'}} (0) = 2