Teaching CSIR NET Mock Test Series Mathematical Science Ordinary Differential Equations Theorem For Differential Equation
Consider the initial value problem
x2 y" - 2x2y' + (4x - 2)y = 0, y(0) = 0.
Suppose y = φ(x) is a polynomial solution satisfying φ(1) = 1. Which of the following statements are true?
1
φ(4) = 16
2
φ(2) = 2
3
φ(5) = 25
4
φ(3) = 3