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Beliebt Rechnen >

21y^{''''}+187y^{''}+400y=0

Lösung

21 y^{^{''''}} + 187 y^{^{''}} + 400 y = 0

Lösung

y = c_{1} cos (\frac{5 t}{7}) + c_{2} sin (\frac{5 t}{7}) + c_{3} cos (\frac{4 t}{3}) + c_{4} sin (\frac{4 t}{3})

Schritte zur Lösung

21 y^{(4)} (t) + 187 y^{''} (t) + 400 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{5 t}{7}) + c_{2} sin (\frac{5 t}{7}) + c_{3} cos (\frac{4 t}{3}) + c_{4} sin (\frac{4 t}{3})

y = c_{1} cos (\frac{5 t}{7}) + c_{2} sin (\frac{5 t}{7}) + c_{3} cos (\frac{4 t}{3}) + c_{4} sin (\frac{4 t}{3})

Graph

Beliebte Beispiele

x^{''}-8x^'+16x=0

x^{^{''}} - 8 x^{^{'}} + 16 x = 0

y^{''}+3y^'+9/4 y=0

y^{^{''}} + 3 y^{^{'}} + \frac{9}{4} y = 0

y^{''}-y^'-12y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

24y^{''}+7y^'-5y=0

24 y^{^{''}} + 7 y^{^{'}} - 5 y = 0

2y^{''}+12y^'+18y=0

2 y^{^{''}} + 12 y^{^{'}} + 18 y = 0