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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{6} + \frac{5}{36}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{6} + \frac{5}{36}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{6} + \frac{5}{36}

Graph

Beliebte Beispiele

1/6 y^{''}+6y=3tan(6t)-1/3 e^t

\frac{1}{6} y^{^{''}} + 6 y = 3 tan (6 t) - \frac{1}{3} e^{t}

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

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

y^{''}+5y^'+6y=e^{2t},y(0)=0,y^'(0)=0

y^{^{''}} + 5 y^{^{'}} + 6 y = e^{2 t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'-3y=e^4x

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{4} x

y^{''''}-2y^{''}+y=11t+8

y^{^{''''}} - 2 y^{^{''}} + y = 11 t + 8