Page 357 - Schaum's Outline of Differential Equations

340 ANSWERS TO SUPPLEMENTARY PROBLEMS

3.25. / = -1 3.26. Linear

3.27. Linear, separable, and exact 3.28. Linear
3.29. Homogeneous, Bernoulli 3.30. Homogeneous, Bernoulli, separable, and exact

3.31. Linear, homogeneous, and exact 3.32. Homogeneous

3.33. Exact 3.34. Bernoulli

3.35. Linear and exact

CHAPTER 4

2 1/4
4.24. y = ±(k+2x ) ,k = -4c
1/3
4.25. y = (k + 3x)- ,k = -3c

4.27. y = kx,k = ±e~ c

3
2
4.29. y = ke-' i/2 ,k = ±(f 4.30. 2f + 6t+2y + 3y = k,k = 6c
y
3 4
4.31. y t = ke ,k = ±e c 4.32. y = tan (x - c)
4.33. y = 3 + 2 tan (2x + k), k = -2c

3
4.37. y = -\l(x-c) 4.38. x = -3l(t + k),k = 3c

4.39. x = kt,k = ±e c

y

4.46. y = x In \klx\
2
4
4.47. y = kx - X 4.48. y = kx -x 2
2
4.49. Not homogeneous 4.50. V = X - kx
2
2
2
4.51. 3yx -y 3 = k
4.53. Not homogeneous