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Beliebt Rechnen >

y^{''}-12y^'+36y=0,y(0)=4,y^'(0)=15.455

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = 15.455

Lösung

y = 4 e^{6 t} - 8.545 e^{6 t} t

Schritte zur Lösung

y^{''} (t) - 12 y^{'} (t) + 36 y = 0

Solve linear ODE:

y = 4 e^{6 t} - 8.545 e^{6 t} t

y = 4 e^{6 t} - 8.545 e^{6 t} t

Graph

Beliebte Beispiele

3y^{''}+4y^'+5y=0

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

y^{''}-5y^{''}+24y^'-20y=0

y^{^{''}} - 5 y^{^{''}} + 24 y^{^{'}} - 20 y = 0

y^{''''}+8y^{'''}+21y^{''}+22y^'+8y=0

y^{^{''''}} + 8 y^{^{'''}} + 21 y^{^{''}} + 22 y^{^{'}} + 8 y = 0

y^{''}+9y^'+αy=0,y(0)=1,y^'(0)=-4

y^{^{''}} + 9 y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - 4

y^{''}+0.05y^'-0.0006y=0

y^{^{''}} + 0.05 y^{^{'}} - 0.0006 y = 0