A function y = f (x) satisfies the differential equation dy dx – y = cos x – sin x with…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
A function y = f (x) satisfies the differential equation
\(\frac{\mathrm{dy}}{\mathrm{dx}}\) – y = cos x – sin x with initial condition that y is bounded when x → ∞. The area enclosed by
y = f (x), y = cos x and the y-axis in first quadrant is
\(\frac{\mathrm{dy}}{\mathrm{dx}}\) – y = cos x – sin x with initial condition that y is bounded when x → ∞. The area enclosed by
y = f (x), y = cos x and the y-axis in first quadrant is
- \(\sqrt{2}-1\)
- \(\sqrt{2}\)
- 1
- \(\frac{1}{\sqrt{2}}\)
Answer
(A) 2 -1
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