The solution of the differential equation `(dy)/(dx)=(a x+g)/(b y+f)`represents a circle when`a=b`b. `a=-b`c. `a=-2b`d. `a=2b`A. a=bB. `a=-b`C. `a=-2b`D. `a=2b`

The solution of the differential equation `(dy)/(dx)=(a x+g)/(b y+f)`r

1.	The solution of the differential equation `(dy)/(dx)=(a x+g)/(b y+f)`represents a circle when`a=b`b. `a=-b`c. `a=-2b`d. `a=2b`A. a=bB. `a=-b`C. `a=-2b`D. `a=2b`
Answer» Correct Answer - b We have , ` (dy)/(dx) = (ax +g)/(by+f)` ` rArr (by + f) dy = (ax + g ) dx` Onintegrating ,we get ` (by^(2))/2 +fy = (ax^(2))/2 + gx + C` `rArr ax^(2) - by^(2) + 2gx - 2fy +C = 0` This represents a circle , if a = -b

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The solution of the differential equation `(dy)/(dx)=(a x+g)/(b y+f)`represents a circle when`a=b`b. `a=-b`c. `a=-2b`d. `a=2b`A. a=bB. `a=-b`C. `a=-2b`D. `a=2b`

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