JEE Main 2024 Mathematics question

MathematicsDifferential EquationJEE Main 2024

Let x = x(t) and y = y(t) be solutions of the differential equations and respectively, a, b ∈ R. Given that x(0) = 2; y(0) = 1 and 3y(1) = 2x(1), the value of t, for which x(t) = y(t), is :

Answer: (C)

Solution

x = and y = . From 3y(1) = 2x(1): = , so = 4/3.

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Question ID VK-016716