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Beliebt Rechnen >

-ay^{''}+by-1=0

Lösung

- a y^{^{''}} + b y - 1 = 0

Lösung

y = c_{1} e^{\frac{b}{a} t} + c_{2} e^{- \frac{b}{a} t} + \frac{1}{b}

Schritte zur Lösung

- a y^{''} (t) + b y - 1 = 0

Solve linear ODE:

y = c_{1} e^{\frac{b}{a} t} + c_{2} e^{- \frac{b}{a} t} + \frac{1}{b}

y = c_{1} e^{\frac{b}{a} t} + c_{2} e^{- \frac{b}{a} t} + \frac{1}{b}

Graph

Beliebte Beispiele

y^{'''}-24y^{''}+192y^'-512y=e^{8x}

y^{^{'''}} - 24 y^{^{''}} + 192 y^{^{'}} - 512 y = e^{8 x}

y^{'''}+18y^{''}-864y=e^{-12x}

y^{^{'''}} + 18 y^{^{''}} - 864 y = e^{- 12 x}

y^{''}+4y=2sin(2t)+t

y^{^{''}} + 4 y = 2 sin (2 t) + t

y^{''}+9y^'+14y=e^{-x}

y^{^{''}} + 9 y^{^{'}} + 14 y = e^{- x}

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

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