Can you please help me with problems 2 and 16? Thanks so much!

AT&T 5:06 PM 3. CHAPTER 9 INTRODUCTION TO DIFFERENTIAL EQUATIONS Which of following differential equations are +yy' =sinx 4. Which or the follmving differential equatims e dx 27 Y tan r dp pst Exercises In / 6. 'he i' Of differ equation. 12-ax 3. y25e-2'2 6. y" 2y'+5y=O. y 7. following differential equations apsvar similar bul have very diffcRnt solutions: Solve both subject to the initial condition y (l) I 8. following differential equations similar but have very different solutions: Solve both subjecl to the initial condition yd l) 2. 9. Verify = Oisseparable. 10. (a) Write it as e' dv Integrate sides 10 obtain + C. Verify y + C) is the general Find particular solution satisfying = 4. Consider the differential equation y' y' 9x2 = O. Write it as = 9x2dx. Integrate mth sides tootMain 3xY + C. Verify that y = + is the general solution. Find lhe particular solution satisfying = 2. Separa'im of to general 6t2 13. - 20de-, 19. 21. vy' = x 12. y' _0 14. y' dy 20. f 12) 22. In Exercises 2942. Initial problem 29. y'+2yo. 30. 31. yy'=xe-+. 32. x-3. y' x(y2 +1). 36. dy dy 39. r2d-2 42. 3. 'he Of a glarier 'he Of 'he is COSeS Where the varies 'he length 43. (a) Solve the glacier thickness differential with Nhn2 and initial condition (b) Sketch thegraphofT for 0 10m. (a) Solve the glacier thickness differential equation With r(x) x) and initial condition (b) Sketch the graph of for O x II") m. 4550. use a 45. Water through a hole B cylindrical tank that is filled with water height area 10 How long does it take (a) for half of (b) for thc tank to empty? 2/2