For all x 0, let y_1(x), y_2(x), and y_3(x) be the functions satisfying dy_1 dx - ( x)^2y_1 = 0, y_1(1) =...

Question

For all x > 0, let y_1(x), y_2(x), and y_3(x) be the functions satisfying dy_1 dx - ( x)^2y_1 = 0, y_1(1) = 5, dy_2 dx - ( x)^2y_2 = 0, y_2(1) = 1 3 , dy_3 dx - ( 2 - x^3 x^3 )y_3 = 0, y_3(1) = 3 5e , respectively. Then _ x 0^+ y_1(x)y_2(x)y_3(x) + 2x e^ 3x x is equal to _____.

Accepted Answer

2

JEE Advanced 2025 Mathematics question

Solution

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