MathematicsMedium38×since 2002Q3529If the curve y = y(x) is the solution of the differential equation 2(x2+x5/4)dy−y(x+x1/4)dx=2x9/4dx2({x^2} + {x^{5/4}})dy - y(x + {x^{1/4}})dx = {2x^{9/4}}dx2(x2+x5/4)dy−y(x+x1/4)dx=2x9/4dx, x > 0 which passes through the point (1,1−43loge2)\left( {1,1 - {4 \over 3}{{\log }_e}2} \right)(1,1−34loge2), then the value of y(16) is equal to :A4(313−83loge3)4\left( {{{31} \over 3} - {8 \over 3}{{\log }_e}3} \right)4(331−38loge3)B(313−83loge3)\left( {{{31} \over 3} - {8 \over 3}{{\log }_e}3} \right)(331−38loge3)C(313+83loge3)\left( {{{31} \over 3} + {8 \over 3}{{\log }_e}3} \right)(331+38loge3)D4(313+83loge3)4\left( {{{31} \over 3} + {8 \over 3}{{\log }_e}3} \right)4(331+38loge3)Check answerSkip