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Beliebt Rechnen >

y^{''''}+20y^{''}+100y=0

Lösung

y^{^{''''}} + 20 y^{^{''}} + 100 y = 0

Lösung

y = c_{1} cos (10 t) + c_{2} sin (10 t) + t (c_{3} cos (10 t) + c_{4} sin (10 t))

Schritte zur Lösung

y^{(4)} (t) + 20 y^{''} (t) + 100 y = 0

Solve linear ODE:

y = c_{1} cos (10 t) + c_{2} sin (10 t) + t (c_{3} cos (10 t) + c_{4} sin (10 t))

y = c_{1} cos (10 t) + c_{2} sin (10 t) + t (c_{3} cos (10 t) + c_{4} sin (10 t))

Graph

Beliebte Beispiele

y^{''}-y^'-2y=e^{3x}sin(2x)

y^{''}+y=tan(t)+e^{3t}-1

(\partial)/(\partial y)(y^2-2ycos(x))