If a curve y = f(x) passes through the point (1, 2) and satisfies x dy/dx + y = b x⁴, then for what value of b, ∫₁² f(x)dx = 62/5 ?

Differential Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q3495

JEE Main 202124 Feb, Evening shiftMathematicsEasyDifferential Equations163× since 2002

If a curve y = f(x) passes through the point (1, 2) and satisfies

x {{dy} \over {dx}} + y = b{x^4}

, then for what value of b,

\int\limits_1^2 {f(x)dx = {{62} \over 5}}

JEE Main 2021 · 24 Feb, Evening shift · Q3495

JEE Main 202124 Feb, Evening shiftMathematicsEasyDifferential Equations163× since 2002

If a curve y = f(x) passes through the point (1, 2) and satisfies

x {{dy} \over {dx}} + y = b{x^4}

, then for what value of b,

\int\limits_1^2 {f(x)dx = {{62} \over 5}}