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Beliebt Rechnen >

100y^{''}-y=0,y(-10)=1,y^'(-10)=-1

Lösung

100 y^{^{''}} - y = 0, y (- 10) = 1, y^{^{'}} (- 10) = - 1

Lösung

y = (e - \frac{11 e}{2}) e^{\frac{t}{10}} + \frac{11 e ^{\frac{- t - 10}{10}}}{2}

Schritte zur Lösung

100 y^{''} (t) - y = 0

Solve linear ODE:

y = (e - \frac{11 e}{2}) e^{\frac{t}{10}} + \frac{11 e ^{\frac{- t - 10}{10}}}{2}

y = (e - \frac{11 e}{2}) e^{\frac{t}{10}} + \frac{11 e ^{\frac{- t - 10}{10}}}{2}

Graph

Beliebte Beispiele

y^{^{''}} + 12 y = 0

y^{'''}-4y^{''}+9y^'=0

y^{^{'''}} - 4 y^{^{''}} + 9 y^{^{'}} = 0

y^{''}+16y=0,y(pi/(12))=4,y^'(pi/(12))=-8

y^{^{''}} + 16 y = 0, y (\frac{π}{12}) = 4, y^{^{'}} (\frac{π}{12}) = - 8

16y^{''''}+40y^{''}+25y=0

16 y^{^{''''}} + 40 y^{^{''}} + 25 y = 0

y^{''}+5y^'-4y=0

y^{^{''}} + 5 y^{^{'}} - 4 y = 0