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Q. If $\frac{d y}{d x}+\frac{y}{x}=x^{2}$, then $2 y(2)-y(1)=$

KCETKCET 2022Differential Equations

Solution:

$y \cdot x=\frac{x^{4}}{4}+C$
$2 y(2)-y(1)=\frac{15}{4}$