|
|
|
||||||
United Kingdom -> Classes / Lessons -> After School
|
| Offered : ***Mathematics*** | |
| Description: 1. Find the general solution of x´+1/2x=1/4. 2. Find the general solutions of the following linear differential equations: (a) x´+x=10 Solution: x´=10-x; dx/dt=10-x; dx/(10-x)=dt; -d(10-x)/(10-x)=dt; -ln(10-x)=t+C; ln(10-x)=-t+C; 10-x=e^(-t+C); Answer: x(t)=10-e^(-t+C); Test: x´=e^(-t+C); e^(-t+C)+ 10-e^(-t+C)=10; 10=10. (b) x´-3x=27 (c) 4x´+5x=100 3. Find the general solutions of the following differential equations: (a) tx´+2x+t=0 (b) x´-1/tx=t (c) x´-t/(t^2-1)x=t 4. Solve the following Bernoulli equations assuming t>0, x>0: (a) tx´+2x=tx^2 (b) x´=4x+2(e^t)(x^0.5) (c) tx´+x=(x^2)lnt 1. x1 + 5x2 + x3 + 2x4 = 9 3x1 + x2 + 3x3 + x4 = 8 6x1 + 6x2 + 6x3 + 7x4 = 25 2. 5x1 + x2 + 4x3 + 4x4 = 14 4x1 + 5x2 + 5x3 + 3x4 = 17 x1 + 8x2 +17x3 + 15x4 = 41 3. 5x1 + 3x2 + 3x3 + 4x4 = 15 x1 + 3x2 + x3 + 3x4 = 8 6x1 + 8x2 + 6x3 + 3x4 = 23 4. 4x1 + x2 + 4x3 + 2x4 = 11 4x1 + 3x2 + 2x3 + 3x4 = 12 x1 + x2 + x3 + x4 = 4 5. x1 + x2 + x3 + 4x4 = 7 3x1 + 5x2 + 2x3 + 2x4 = 12 6x1 + 8x2 + 5x3 + 4x4 = 23 6. x1 + 4x2 + 2x3 + 2x4 = 9 4x1 + 5x2 + 5x3 + 3x4 = 17 6x1 + x2 + x3 + x4 = 9 7. 4x1 + 5x2 + x3 + 3x4 = 13 4x1 + x2 + 5x3 + 3x4 = 13 4x1 + 6x2 + x3 + 8x4 = 19 8. 2x1 + x2 + 2x3 + 3x4 = 8 2x1 + 3x2 + 5x3 + 2x4 = 12 6x1 + 5x2 + x3 8x4 = 4 9. x1 + x2 + x3 + 2x4 = 5 5x1 + 4x2 + 4x3 + 3x4 = 16 6x1 + 7x2 + 7x3 + 9x4 = 29 10. 3x1 + 3x2 + x3 + 2x4 = 9 3x1 + 3x2 + 3x3 + x4 = 10 9x1 + 9x2 + 5x3 + 5x4 = 28 11. 3x1 + x2 + x3 + 5x4 = 10 x1 + 3x2 + 4x3 + x4 = 9 7x1 + 4x2 + 5x3 + 6x4 = 22 12. x1 + 3x2 + 3x3 + 3x4 = 10 x1 + 4x2 + 3x3 + x4 = 9 3x1 + 10x2 + 9x3 + x4 = 23 13. 5x1 + 2x2 + 3x3 + x4 = 11 5x1 + 5x2 + x3 + x4 = 12 20x1 + x2 + 10x3 + 4x4 = 35 14. 2x1 + 2x2 + x3 + 2x4 = 7 4x1 + 5x2 + 3x3 + 4x4 = 14 10x1 + x2 + 6x3 + x4 = 18 15. x1 + x2 + 5x3 + 3x4 = 10 x1 + 4x2 + 5x3 + 6x4 = 16 2x1 + 2x2 + 4x3 + x4 = 9 16. 2x1 + x2 + 2x3 + 3x4 = 8 2x1 + 3x2 + 5x3 + 2x4 = 12 6x1 + 5x2 + x3 8x4 = 4 17. 5x1 + x2 + 4x3 + 4x4 = 14 4x1 + 5x2 + 5x3 + 3x4 = 17 x1 + 8x2 +17x3 + 15x4 = 41 18. 5x1 + 3x2 + 3x3 + 4x4 = 15 x1 + 3x2 + x3 + 3x4 = 8 6x1 + 8x2 + 6x3 + 3x4 = 23 19. 4x1 + x2 + 4x3 + 2x4 = 11 4x1 + 3x2 + 2x3 + 3x4 = 12 x1 + x2 + x3 + x4 = 4 20. x1 + x2 + x3 + 4x4 = 7 3x1 + 5x2 + 2x3 + 2x4 = 12 6x1 + 8x2 + 5x3 + 4x4 = 23 21. x1 + 4x2 + 2x3 + 2x4 = 9 4x1 + 5x2 + 5x3 + 3x4 = 17 6x1 + x2 + x3 + x4 = 9 22. 4x1 + 5x2 + x3 + 3x4 = 13 4x1 + x2 + 5x3 + 3x4 = 13 4x1 + 6x2 + x3 + 8x4 = 19 23. 2x1 + x2 + 2x3 + 3x4 = 8 2x1 + 3x2 + 5x3 + 2x4 = 12 6x1 + 5x2 + x3 8x4 = 4 24. x1 + x2 + x3 + 2x4 = 5 5x1 + 4x2 + 4x3 + 3x4 = 16 6x1 + 7x2 + 7x3 + 9x4 = 29 25. 3x1 + 3x2 + x3 + 2x4 = 9 3x1 + 3x2 + 3x3 + x4 = 10 9x1 + 9x2 + 5x3 + 5x4 = 28 26. 3x1 + x2 + x3 + 5x4 = 10 x1 + 3x2 + 4x3 + x4 = 9 7x1 + 4x2 + 5x3 + 6x4 = 22 27. x1 + 3x2 + 3x3 + 3x4 = 10 x1 + 4x2 + 3x3 + x4 = 9 3x1 + 10x2 + 9x3 + x4 = 23 28. 5x1 + 2x2 + 3x3 + x4 = 11 5x1 + 5x2 + x3 + x4 = 12 20x1 + x2 + 10x3 + 4x4 = 35 29. 2x1 + 2x2 + x3 + 2x4 = 7 4x1 + 5x2 + 3x3 + 4x4 = 14 10x1 + x2 + 6x3 + x4 = 18 30. x1 + x2 + 5x3 + 3x4 = 10 x1 + 4x2 + 5x3 + 6x4 = 16 2x1 + 2x2 + 4x3 + x4 = 9 31. x1 + 5x2 + x3 + 2x4 = 9 3x1 + x2 + 3x3 + x4 = 8 6x1 + 6x2 + 6x3 + 7x4 = 25 32. 5x1 + x2 + 4x3 + 4x4 = 14 4x1 + 5x2 + 5x3 + 3x4 = 17 x1 + 8x2 +17x3 + 15x4 = 41 33. 5x1 + 3x2 + 3x3 + 4x4 = 15 x1 + 3x2 + x3 + 3x4 = 8 6x1 + 8x2 + 6x3 + 3x4 = 23 34. 4x1 + x2 + 4x3 + 2x4 = 11 4x1 + 3x2 + 2x3 + 3x4 = 12 x1 + x2 + x3 + x4 = 4 35. x1 + x2 + x3 + 4x4 = 7 3x1 + 5x2 + 2x3 + 2x4 = 12 6x1 + 8x2 + 5x3 + 4x4 = 23 36. x1 + 4x2 + 2x3 + 2x4 = 9 4x1 + 5x2 + 5x3 + 3x4 = 17 6x1 + x2 + x3 + x4 = 9 37. 4x1 + 5x2 + x3 + 3x4 = 13 4x1 + x2 + 5x3 + 3x4 = 13 4x1 + 6x2 + x3 + 8x4 = 19 38. 2x1 + x2 + 2x3 + 3x4 = 8 2x1 + 3x2 + 5x3 + 2x4 = 12 6x1 + 5x2 + x3 8x4 = 4 39. x1 + x2 + x3 + 2x4 = 5 5x1 + 4x2 + 4x3 + 3x4 = 16 6x1 + 7x2 + 7x3 + 9x4 = 29 40. 3x1 + 3x2 + x3 + 2x4 = 9 3x1 + 3x2 + 3x3 + x4 = 10 9x1 + 9x2 + 5x3 + 5x4 = 28 I can solve problems. ostina@post.skynet.lt | |
| Ads Posting Date: 05/07/2008 | |
| Ad Reference No : 21251 | |
| Contact no. : | |
| Tell a friend about this Ad | |
| Email: ostina@post.skynet.lt - Anti spam: Do NOT contact me offering services or anything of a commercial nature | |
|
 | |||||||||||||||||||||||||
| |||||||||||||||||||||||||
