Millionaire Mode

Systems of Differential Equations

Question 1 of 14

Consider the system of differential equations (\frac{dx}{dt} = 2x - y, \ \frac{dy}{dt} = x + 2y). Find the eigenvalues of the coefficient matrix.

  1. (\lambda_1 = 1, \lambda_2 = 3)
  2. (\lambda_1 = 2, \lambda_2 = 4)
  3. (\lambda_1 = -1, \lambda_2 = -3)
  4. (\lambda_1 = 0, \lambda_2 = 2)

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000