Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Ordinary Differential Equations Theorem For Differential Equation
For the ordinary differential equation
\((x-1) \frac{d^2 y}{d x^2}\) + \((\cot \pi x) \frac{d y}{d x}\) + \(\left(\operatorname{cosec}^2 \pi x\right) y=0\)
which of the following statement is true?
1
0 is regular and 1 is irregular.
2
0 is irregular and 1 is regular.
3
Both 0 and 1 are regular.
4
Both 0 and 1 are irregular.
5
Question Not Attempted