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AP EAMCET2008MathematicsDifferential Equations

The solution of the differential equation d y d x -y x=e^x x is

Options

  1. Ay=e^x x+c
  2. By x=e^x+c
  3. Cy=e^x x+c
  4. Dy x=e^x+c

Correct answer

B. y x=e^x+c

Step-by-step solution

Given linear differential equation is aligned d y d x -y x & =e^x x IF =e^ - x d x & =e^ - x & = 1 x aligned Complete solution is array rlrl & & y 1 x & = e^x x 1 x d x & & y x & =e^x+c & y x & =e^x+c array

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