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Beliebt Rechnen >

16y^{''''}+16y^{''}+4y=0

Lösung

16 y^{^{''''}} + 16 y^{^{''}} + 4 y = 0

Lösung

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2}) + t (c_{3} cos (\frac{t}{2}) + c_{4} sin (\frac{t}{2}))

Schritte zur Lösung

16 y^{(4)} (t) + 16 y^{''} (t) + 4 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2}) + t (c_{3} cos (\frac{t}{2}) + c_{4} sin (\frac{t}{2}))

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2}) + t (c_{3} cos (\frac{t}{2}) + c_{4} sin (\frac{t}{2}))

Graph

Beliebte Beispiele

x^{^{''}} + 64 x = 0

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

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

3y^{''}+27y=0,y(0)=0,y^'(0)=1

3 y^{^{''}} + 27 y = 0, y (0) = 0, y^{^{'}} (0) = 1

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

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

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

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