Let y = y(x) be the solution of the differential equation (xy - 5x² √(1 + x²)) dx + (1 + x²) dy = 0, y(0) = 0. Then y(√(3)) is equal to

Differential Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q67

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

Let

y = y(x)

be the solution of the differential equation

\left(xy - 5x^2 \sqrt{1 + x^2}\right) dx + \left(1 + x^2\right) dy = 0

y(0) = 0

. Then

y(\sqrt{3})

is equal to

JEE Main 2025 · January, Unspecified (session-level dataset) · Q67

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

Let

y = y(x)

be the solution of the differential equation

\left(xy - 5x^2 \sqrt{1 + x^2}\right) dx + \left(1 + x^2\right) dy = 0

y(0) = 0

. Then

y(\sqrt{3})

is equal to