Question

solve the differential equation
xdy/dx - y = 2x³​

Answer 1

Answer:

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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