Consider the differential equation e x (ydx – dy) = e –x (ydx + dy). Let y = f(x) be a…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
Consider the differential equation ex (ydx – dy) = e–x (ydx + dy). Let y = f(x) be a particular Explanation:tion to this differential equation which passes through the point (0, 2).
Let \(C \equiv y=\log _{1 / 4}\left(x-\frac{1}{4}\right)+\frac{1}{2}\) log4 (16x2 – 8x + 1), be another curve
If the area bounded by the curve y = f(x), curve C, ordinate x = 1/4 & the ordinate x = a is \(4-\ln 4+\frac{1}{\mathrm{e}^{1 / 4}}-e^{1 / 4}\)then value of a is
- ln 6
- ln 4
- 4
- ln 12
Answer
(B) l n 4
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