If the curve y = y(x) is the solution of the differential equation …, x > 0 which passes through the point …, then the value of y(16) is equal to :

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Differential Equations

JEE Main 2021 · 17 Mar, Evening shift · Q3529

MathematicsMedium38×since 2002Q3529

If the curve y = y(x) is the solution of the differential equation

2({x^2} + {x^{5/4}})dy - y(x + {x^{1/4}})dx = {2x^{9/4}}dx

, x > 0 which passes through the point

\left( {1,1 - {4 \over 3}{{\log }_e}2} \right)

, then the value of y(16) is equal to :

JEE Main 2021 · 17 Mar, Evening shift · Q3529

MathematicsMedium38×since 2002Q3529

If the curve y = y(x) is the solution of the differential equation

2({x^2} + {x^{5/4}})dy - y(x + {x^{1/4}})dx = {2x^{9/4}}dx

, x > 0 which passes through the point

\left( {1,1 - {4 \over 3}{{\log }_e}2} \right)

, then the value of y(16) is equal to :