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Beliebt Rechnen >

y^{'''}+12y^'+36y^'=0

Lösung

y^{^{'''}} + 12 y^{^{'}} + 36 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} cos (43 t) + c_{3} sin (43 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} cos (43 t) + c_{3} sin (43 t)

y = c_{1} + c_{2} cos (43 t) + c_{3} sin (43 t)

Graph

Beliebte Beispiele

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

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

y^{''}+ay=0,y(0)=0,y(5)=0

y^{^{''}} + a y = 0, y (0) = 0, y (5) = 0

y^{''}-18y^'+162y=0

y^{^{''}} - 18 y^{^{'}} + 162 y = 0

ay^{''}+by^'+cy=0,y(0)=0

a y^{^{''}} + b y^{^{'}} + cy = 0, y (0) = 0

y^{''}-10y^'+41y=0,y(0)=10,y^'(0)=7

y^{^{''}} - 10 y^{^{'}} + 41 y = 0, y (0) = 10, y^{^{'}} (0) = 7