Question

Consider the initial value problem
\(\frac{dy}{dx}+αy=0, \\ y(0)=1,\)
where α ∈ \(\R\). Then

• A. there is an α such that y(1) = 0
• B. there is a unique α such that \(\lim\limits_{x\rightarrow \infin}y(x)=0\)
• C. there is NO α such that y(2) = 1
• D. there is a unique α such that y(1) = 2

Answer 1

The Correct Option is D

The correct option is (D) : there is a unique α such that y(1) = 2.