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MHT CET2008MathematicsDifferential Equations

The solution of the differential equation d y d x = x-y+3 2(x-y)+5 is

Options

  1. A2(x-y)+ (x-y)=x+c
  2. B2(x-y)- (x-y+2)=x+c
  3. C2(x-y)+ (x-y+2)=x+c
  4. DNone of the above

Correct answer

C. 2(x-y)+ (x-y+2)=x+c

Step-by-step solution

Given differential equation is d y d x = x-y+3 2(x-y)+5 Let x-y=v d y d x =1- d v d x d v d x = v+2 2 v+5 array l 2 v+5 v+2 d v= d x (2+ 1 v+2 ) d v= d x array 2 v+ (v+2)=x+c 2(x-y)+ (x-y+2)=x+c

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