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AP EAMCET2015MathematicsDifferential Equations

The differential equation d y d x = 1 a x+b y+c , where a, b, c are all non-zero real numbers, is

Options

  1. Alinear in y
  2. Blinear in x
  3. Clinear in both x and y
  4. Dhomogeneous equation

Correct answer

B. linear in x

Step-by-step solution

Given differential equation, aligned & d y d x = 1 a x+b y+c & d y d x =a x+b y+c & d x d y -a x=b y+c aligned Hence, this equation is a linear differential equation in x .

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