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Beliebt Rechnen >

15y^{''''}+128y^{''}+25y=0

Lösung

15 y^{^{''''}} + 128 y^{^{''}} + 25 y = 0

Lösung

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

Schritte zur Lösung

15 y^{(4)} (t) + 128 y^{''} (t) + 25 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=5

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y^{^{'}} (1) = 5

x^{'''}-12x^{''}+48x^'-64x=0

x^{^{'''}} - 12 x^{^{''}} + 48 x^{^{'}} - 64 x = 0

y^{^{''}} = 4 y^{^{'}} - 3 y

(D^{2} + 3 D - 10) y = 0

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

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