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Beliebt Rechnen >

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

Lösung

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

Lösung

y = (2 - \frac{5}{4}) e^{2 t} + \frac{5}{4} - \frac{t}{2}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) = 1

Solve linear ODE:

y = (2 - \frac{5}{4}) e^{2 t} + \frac{5}{4} - \frac{t}{2}

y = (2 - \frac{5}{4}) e^{2 t} + \frac{5}{4} - \frac{t}{2}

Graph

Beliebte Beispiele

y^{''}-y^'+14y=5+e^{x/2}

y^{^{''}} - y^{^{'}} + 14 y = 5 + e^{\frac{x}{2}}

y^{''}-16y=9.6e^{4x}+30e^x

y^{^{''}} - 16 y = 9.6 e^{4 x} + 30 e^{x}

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

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

y^{''}+y^'+y=13e^{-2t}(cos(t)+2sin(t))

y^{^{''}} + y^{^{'}} + y = 13 e^{- 2 t} (cos (t) + 2 sin (t))

y^{'''}+6y=7y^'+4e^x

y^{^{'''}} + 6 y = 7 y^{^{'}} + 4 e^{x}