Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Ordinary Differential Equations Initial Value Problem
Consider the initial value problem
\(\frac{dy}{dx}+\alpha y=0\),
y(0) = 1,
where α ∈ ℝ. Then
1
there is an α such that y(1) = 0
2
there is a unique α such that \(\displaystyle\lim_{x \rightarrow \infty}\) y(x) = 0
3
there is NO α such that y(2) = 1
4
there is a unique α such that y(1) = 2