Millionaire Mode

Existence and Uniqueness Theorems

Question 1 of 15

Consider the differential equation $\frac{dy}{dx} = y^2 + 1$. Which of the following statements is true?

  1. The equation has a unique solution for any initial condition.
  2. The equation has a unique solution for some initial conditions.
  3. The equation has no solutions.
  4. The equation has infinitely many solutions.

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