xdy/dx - y = 2x³...............................
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Step-by-step explanation:
dy/dx - y/x = 2x²
P = -1/x Q = 2x²
Integrating factor, IF = e^(∫Pdx)
= e^(-∫1/xdx)
= e^-logx
= x⁻¹
y IF = ∫Q IF dx
y/x = ∫ 2x²*1/x dx
y/x = x² + C
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