Solutions Quiz 4 of CAL1201b-01
Question 1: (4 points): Solve the initial value problem (x2 + 1)y + 2xy = x3 + x, y(0) = 2. The differential equation in the standard form: 3 3 2x 2x y + x2 +1 y = x2+x
Answers to the quiz 3 of CAL1201b-01
Answer to question 1. (i) Solve the following character equation of A det|A rI| = r 2 r 2 = 0, we have r = 2 or r = 1. Therefore, the larger eigenvalue r = 2 is th
Solution to Problem 1: Assume that the number of the young rat is x, the number of the female rat is y, and the number of the male rat is z. Then, we have: 1)Total number of the rate is 23 means: x +
Solutions Quiz 5 of CAL1201b-01
Question 1 4 points Solve the IVP y (x) + 6y (x) + 9y(x) = 0, y(0) = 2, y (0) = 2. The auxiliary equation is: r2 + 6r + 9 = 0 r = 3 (repeated) So the general solution o
Solutions to Quiz 7 Solution to Question 1. x = x + y + 2 = x + 2x + 2t 1 + 2. x + x 2x = 2t + 1. Solve auxliary eqn. r 2 + r 2 = 0, r = 2, r = 1. xh (t) = C1 e2t + C2 et . Assume xp = At + B, a 2(At
Quiz 10 of Cal1301b-001 (Winter 2009) Name: Student #:
You have to show your work ! Use the back if you run out of space. 1. (i) (2 pts) A pea plan of genotype Ff is crossed with another pea plan with
Quiz 9 of Cal1301b-001 (Winter 2009) Name: Student #:
You have to show your work ! Use the back if you run out of space. 1. (2 4 = 8 pts) A fair die is rolled twice. Find the probability that (i) both
Solutions to Quiz 8 Let x and y be the populations (in thousands) of two species that share the same habitat. Their interactions are described by the following systems of differential equations. 1. As