Let y=y(x) be a solution curve of the differential equation. (1-x² y²) d x=y d x+x d y. If the line x=1 intersects the curve y=y(x) at y=2 and the line x=2 intersects the curve y=y(x) at y=α, then a value of α is:

Differential Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Morning shift · Q3639

JEE Main 202311 Apr, Morning shiftMathematicsHardDifferential Equations163× since 2002

Let

y=y(x)

be a solution curve of the differential equation.

\left(1-x^{2} y^{2}\right) d x=y d x+x d y

. If the line

x=1

intersects the curve

y=y(x)

y=2

and the line

x=2

intersects the curve

y=y(x)

y=\alpha

, then a value of

\alpha

is :

JEE Main 2023 · 11 Apr, Morning shift · Q3639

JEE Main 202311 Apr, Morning shiftMathematicsHardDifferential Equations163× since 2002

Let

y=y(x)

be a solution curve of the differential equation.

\left(1-x^{2} y^{2}\right) d x=y d x+x d y

. If the line

x=1

intersects the curve

y=y(x)

y=2

and the line

x=2

intersects the curve

y=y(x)

y=\alpha

, then a value of

\alpha

is :