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KCET2025MathematicsDifferential Equations

General solution of the differential equation d y d x +y x= x is

Options

  1. Ay x= x+c
  2. By x= x+c
  3. Ccosec x=y x+c
  4. Dx x= y+c

Correct answer

A. y x= x+c

Step-by-step solution

aligned & d y d x +( x) y= x & I.F =e^ (-) - x x d x =e^ - _c x = x . & y x= ^2 x d x & y x= x+c aligned

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