1550078481-Ordinary_Differential_Equations__Roberts_

116 Ordinary Differential Equations

5. y' = y^2 on [-5, 5]

a. y(-1) = 1 b. y(-1)=0 c. y(l) = .5

6. y' = y^3 on [-2, 2]

a. y(-1) = 1 b. y(-1)=0 c. y(-1) = -1

7. y' = -3x^2 /(2y) on [-1, 1]

a. y(-1) = 1 b. y(-1) = .5 c. y( -1) = 0 d. y( -1) = -1

8. y' = y'y/x on [-2, 2]

a. y(-1) = 1 b. y(-1)=0 c. y(-1) = -1 d. y(l) = 1

9. y' = 3xyl/3 on [-1, 1]

[HINT: Input y^113 as sgn(y)*exp((log(abs(y)))/3)]

a. y( -1) = 1.5 b. y(-1) = 1 c. y(-1) = 0.5

d. y(-1) = 0 e. y(-1) = -1

10. y' = J(y + 2)(y -1) on [- 2, 2]

a. y(O) = 0 b. y(O) = 1 c. y(O) = -3

11. y' = y/(y - x) on [-1, 1]

a. y(l) = 2 b. y(l) = 1 c. y(l) = 0 d. y(l) = -1

12. y' = xy/(x2 + y2) on [-1, 1]

a. y(O) = 1 b. y(O) = 0 c. y(O) = -1

13. y' = xJl -y^2 on [-1, 1]

a. y(O) = 1 b. y(O) = .9 c. y(O) = .5 d. y(O) = 0

14. y'=(-x+Jx^2 +4y)/2 on [-1,1]

a. y(O) = 1 b. y(O) = 0 c. y(O) = -1 d. y(l) = - .2

e. y(l) = -.25