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Mathematics LibreTexts

14.47: Section 10.1 Answers

( \newcommand{\kernel}{\mathrm{null}\,}\)

1. Q1=2110Q1+125Q2Q2=6+350Q1120Q2

2. Q1=125100+2tQ1+1100+3tQ2Q2=5+150+tQ14100+3tQ2

3. m1y1=(c1+c2)y1+c2y2(k1+k2)y1+k2y2+F1m2y2=(c2c3)y1(c2+c3)y2+c3y3+(k2k3)y1(k2+k3)y2+k3y3+F2m3y3=c3y1+c3y2c3y3+k3y1+k3y2k3y3+F3

4. x=αmx+gR2x(x2+y2+x2)3/2y=αmy+gR2y(x2+y2+x2)3/2z=αmz+gR2z(x2+y2+z2)3/2

5.

  1. x1=x2x2=x3x3=f(t,x1,y1,y2)y1=y2y2=g(t,y1,y2)
  2. u1=f(t,u1,v1,v2,w2)v1=v2v2=g(t,u1,v1,v2,w1)w1=w2w2=h(t,u1,v1,v2,w1,w2)
  3. y1=y2y2=y3y3=f(t,y1,y2,y3)

  4. y1=y2y2=y3y3=y4y4=f(t,y1)
  5. x1=x2x2=f(t,x1,y1)y1=y2y2=g(t,x1,y1)

6. x=x1x1=gR2x(x2+y2+x2)3/2y=y1y1=gR2y(x2+y2+x2)3/2z=z1z1=gR2z(x2+y2+z2)3/2


14.47: Section 10.1 Answers is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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