If 2x = y ^(1/5) + y ^(- 1/5) and (x² - 1) d²y d x² + λ x dy/dx + ky = 0, then λ + k is equal to:

Differential Equations: JEE Main 2017 Mathematics question

JEE Main 2017 · 9 Apr, Morning shift · Q3512

JEE Main 20179 Apr, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If 2x = y

{^{{1 \over 5}}}

+ y

{^{ - {1 \over 5}}}

and (x²

-

{{{d^2}y} \over {d{x^2}}}

\lambda

{{dy} \over {dx}}

+ ky = 0, then

\lambda

+ k is equal to :

JEE Main 2017 · 9 Apr, Morning shift · Q3512

JEE Main 20179 Apr, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If 2x = y

{^{{1 \over 5}}}

+ y

{^{ - {1 \over 5}}}

and (x²

-

{{{d^2}y} \over {d{x^2}}}

\lambda

{{dy} \over {dx}}

+ ky = 0, then

\lambda

+ k is equal to :