1550078481-Ordinary_Differential_Equations__Roberts_

548 Ordinary Differential Equations

Exercises 3.8 Chemical Reactions

l. b. 2 moles/liter

3. b. 3 moles/liter


4. b. 4.5 moles/liter

c. 0 moles/liter

c .. 376 sec

c. limt-+oo CA= 4.5 moles/liter

Miscellaneous Exercises

5. 2.07 days 500

limt-+oo CB = .5 moles/liter

Chapter 4 N-TH ORDER LINEAR DIFFERENTIAL

EQUATIONS

Exercises 4.1 Basic Theory

l. (-oo, oo) 3. (0, 3) 5. (-oo, 1)

7. 
   

   Because they are linear combinations of the solutions ex and e-x.

   
   


8. 
   

   a. C1 = -3, C2 = 2 b. C1 = 4, C2 = -3, C3 = 1

   
   

c. C1=1, C2 = C3 = -1 d. C1 = 0, C2 = -2, C3 = -1, C4 = 1

13. b. y = C1ex + c2e- x

1 1

c. y =-ex - -e-x

2 2

1 5. b. y=c1x+c2xlnx c. y = 2x - 3xlnx

17. b. y" + 9y = 0 d. Ye = c1sin3x + c2 cos 3x

e. y=c 1 sin3x+c2cos3x+3x+2 f. y =6sin3x+21cos3x+3x+ 2