Let y = y(x) be the solution curve of the differential equation x(x² + eˣ)dy + (eˣ(x - 2)y - x³)dx = 0, x > 0, passing through the point (1, 0). Then y(2) is equal to:

Differential Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q181

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumDifferential Equations163× since 2002

Let

y = y(x)

be the solution curve of the differential equation

x(x^2 + e^x)dy + (e^x(x - 2)y - x^3)dx = 0,\ x > 0

, passing through the point

(1, 0)

. Then

y(2)

is equal to: