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Beliebt Rechnen >

y^{''}-4y^'-12y=x-6

Lösung

y^{^{''}} - 4 y^{^{'}} - 12 y = x - 6

Lösung

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{x}{12} + \frac{19}{36}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) - 12 y = x - 6

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{x}{12} + \frac{19}{36}

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{x}{12} + \frac{19}{36}

Graph

Beliebte Beispiele

x^{''}+x=cos(3t)

x^{^{''}} + x = cos (3 t)

y^{'''}-5y^{''}+6y^'=5+4sin(x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 5 + 4 sin (x)

y^{''}+2y^'-4y=8x^2

y^{^{''}} + 2 y^{^{'}} - 4 y = 8 x^{2}

8y^{''}-32y=16cos(x)

8 y^{^{''}} - 32 y = 16 cos (x)

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

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