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Beliebt Rechnen >

1/y y^{''}=a,y(0)=0

Lösung

\frac{1}{y} y^{^{''}} = a, y (0) = 0

Lösung

y = - c_{2} e^{a t} + c_{2} e^{- a t}

Schritte zur Lösung

\frac{1}{y} y^{''} (t) = a

Solve linear ODE:

y = - c_{2} e^{a t} + c_{2} e^{- a t}

y = - c_{2} e^{a t} + c_{2} e^{- a t}

Graph

Beliebte Beispiele

y^{''''}-3y^{''}+2y=0

y^{^{''''}} - 3 y^{^{''}} + 2 y = 0

y^{''}-y=0,y(0)=0,y^'(0)=7

y^{^{''}} - y = 0, y (0) = 0, y^{^{'}} (0) = 7

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

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

2y^{''}+12y^'+8y=0

2 y^{^{''}} + 12 y^{^{'}} + 8 y = 0

y^{''}-4y^'-5y=0,y(0)=-5,y^'(0)=31

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = - 5, y^{^{'}} (0) = 31