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

Answer: (D)

there is a unique α such that y(1) = 2

Answer 2

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