Loading [MathJax]/jax/output/HTML-CSS/jax.js
Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Mathematics LibreTexts

11.31: A.4.5- Section 4.5 Answers

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

1. y=2xyx2+3y2

2. y=y2(xy1)

3. y=y(x2+y22x2ln|xy|)x(x2+y22y2ln|xy|)

4. xyy=x1/22

5. y+2xy=4xex2

6. xy+y=4x3

7. yy=cosxsinx

8. (1+x2)y2xy=(1x)2ex

10. ygyg=fgfg

11. (xx0)y=yy0

12. y(y2x2+1)+2xy=0

13. 2x(y1)yy2+x2+2y=0

14.

  1. y=81+18x,(9,81)y=1+2x,(1,1)
  2. y=121+22x,(11,121)y=1+2x,(1,1)
  3. y=10020x,(10,100)y=44x,(2,4)
  4. y=2510x,(5,25)y=12x,(1,1)

15. (e) y=5+3x4,(3/5,4/5)y=54x3,(4/5,3/5)

17.

  1. y=12(1+x),(1,1);y=52+x10,(25,5)
  2. y=14(4+x),(4,2)y=14(4+x),(4,2)
  3. y=12(1+x),(1,1)y=72+x14,(49,7)
  4. y=12(1+x),(1,1)y=52x10,(25,5)

18. y=2x2

19. y=cx|x2=1|

20. y=y1+c(xx1)

21. y=x32x2

22. y=xln|x|+cx

23. y=2x+4

24. y=x23

25. y=kx2

26. (yx)3(y+x)=k

27. y2=x+k

28. y2=12ln(1+2x2)+k

29. y2=2xln(x1)2+k

30. y=1+9x22; those with c>0

33. tan1yx12ln(x2+y2)=k

34. 12ln(x2+y2)+(tanα)tan1yx=k


This page titled 11.31: A.4.5- Section 4.5 Answers is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

Support Center

How can we help?