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Mathematics LibreTexts

11.19: A.2.2- Section 2.2 Answers

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1. y=2±2(x3+x2+x+c)

2. ln(|siny|)=cosx+c;ykπ,k=integer

3. y=cxcy1

4. (lny)22=x33+c

5. y3+3siny+ln|y|+ln(1+x2)+tan1x=c;y0

6. y=±(1+(x1+cx)2)1/2;y±1

7. y=tan(x33+c)

8. y=c1+x2

9. y=2ce(x1)2/21ce(x1)2/2;y1

10. y=1+(3x2+9x+c)1/3

11. y=2+23x3+3x2+4x113

12. y=e(x24)/22e(x24)/2

13. y3+2y2+x2+sinx=3

14. (y+1)(y1)3(y2)2=256(x+1)6

15. y=1+3ex2

16. y=12e2x21

17. y1;(,)

18. y=4ex22ex2;(,)

19. y=1+4x2152;(152,)

20. y=21+e2x(,)

21. y=25x2;(5,5)

22. y2,(,)

23. y=3(x+12x4)1/3;(,2)

24. y=x+c1cx

25. y=xcosc+1x2sinc;y1;y1

26. y=x+3π/2

28. P=P0αP0+(1αP0)eat;limtP(t)=1/α

29. I=SI0I0+(SI0)erSt

30. If q=rS then I=I01+rI0t and limtI(t)=0. If qRs, then I=αI0I0+(αI0)erαt. If q<rs, then limtI(t)=α=Sqr if q>rS, then limtI(t)=0

34. f=ap,where a=constant

35. y=ex(1±2x2+c)

36. y=x2(1+x2+c)

37. y=ex(1+(3xex+c)1/3)

38. y=e2x(1±cx2)

39.

  1. y1=1/x;g(x)=h(x)
  2. y1=x;g(x)=h(x)/x2
  3. y1=ex;g(x)=exh(x)
  4. y1=xr;g(x)=xr1h(x)
  5. y1=1/v(x);g(x)=v(x)h(x)

This page titled 11.19: A.2.2- Section 2.2 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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