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A.9.1: Section 9.1 Answers

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

2. y=2x23x3+1x

3. y=2ex+3exe2x+e3x

4. yi=(xx0)i1(i1)!,1in

5.

b. y1=12x3+x2+12x,y2=13x213x,y3=14x313x2+112x

c. y=k0y1+k1y2+k2y3

7. 2ex2

8. 2Kcosx

9.

a. W(x)=2e3x

d. y=ex(c1+c2x+c3x2)

10.

  1. 2
  2. e3x
  3. 4
  4. 4/x2
  5. 1
  6. 2x
  7. 2/x2
  8. ex(x22x+2)
  9. 240/x5
  10. 6e2x(2x1)
  11. 128x

24.

  1. y=0
  2. xyyxy+y=0
  3. (2x3)y2y(2x5)y=0
  4. (x22x+2)yx2y+2xy2y=0
  5. x3y+x2y2xy+2y=9
  6. (3x1)y(12x1)y+9(x+1)y9y=0
  7. x4y(4)+5x3y3x2y6xy+6y=0
  8. x4y(4)+3x2yx2y+2xy2y=0
  9. (2x1)y(4)4xy+(52x)y+4xy4y=0
  10. xy(4)y4xy+4y=0

This page titled A.9.1: Section 9.1 Answers is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

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