A curve passing through (2, 3) and satisfying the differential equation _ 0 ^ x t y(t) d…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
A curve passing through (2, 3) and satisfying the differential equation \(\int_{0}^{x} t y(t) d t\) = x2y (x), (x >0) is
- x2 + y2 = 13
- y2 =
x - \(\frac{x^{2}}{8}+\frac{y^{2}}{18}=1\)
- xy = 6
Answer
(D) xy = 6
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