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Question

Differential Equations Question on Differential Equations

Let y : ℝ → ℝ be the solution to the differential equation
d2ydx2+2dydx+5y=1\frac{d^2y}{dx^2}+2\frac{dy}{dx}+5y=1
satisfying y(0) = 0 and y'(0) = 1.
Then, limxy(x)\lim\limits_{x \rightarrow \infin}y(x) equals __________ (rounded off to two decimal places).

Answer

The correct answer is 0.19 to 0.21 (approx).