Question

33 Use the direction field to determine the stability of the point (0, 2). 714 points 2.04 References 2.02 2+ 1.98 1.96 x 0.02 0.04 0.06 0.08 0.1 The point (0, 2) is a stable equilibrium point. O The point (0, 2) is an unstable equilibrium point. 7 Select the second-order equation y" + 4xy' + 4y=-9x2 written as a system of first-order equations 714 u'v points -4xv-4u + References u' =4xv+ 4u-9x u'v -4xv-4u-9x2 u'v -4xy-4u + 14 Round to two decimal places if necessary. A spring is stretched 5 centimeters by a 11 Nweight. The weight is then pulled down an additional 6 centimeters and released. Neglect damping. Find the function u() for the position of the spring at any time t 718 points References

Answer 1

Dare: =-9x2 h t = U V 89 -4V -yu-92 u' V 370 1&Concd V 4xV44-9x2- Weight 111 mo d5 m K 2 220 O OS u(o) .06 m mu Ku= !1 u' 9.8 11 Dros . 1 Tu 196 u 2156 20

Ci cesut) tc, sinlyt uco)= in mek u' =-1c Sinlyt t14C Caslut uto): La mets 6 ceslyt icS in C m