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AP EAMCET2002MathematicsDifferential Equations

The solution of d y d x + 1 3 y=1 is

Options

  1. Ay=3+c e^ x / 3
  2. By=3+c e^ -x / 3
  3. C3 y=c+e^ x / 3
  4. Dy^2+x+x^2+2=c e^ 2 x

Correct answer

B. y=3+c e^ -x / 3

Step-by-step solution

We have, array rlrl & d y d x + y 3 & =1 & & d y & =- (y-3) 3 d x & d y y-3 & =- 1 3 d x array aligned & (y-3)=- 1 3 x+ c & y-3=c e^ -x / 3 y=3+c e^ -x / 3 aligned

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