The solution of the differential equationdy+ y = 0 isdx

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The solution of the differential equation dy + y = 0 is
dx

1. y = 1
  x + c
2. y = - x ³ + c
  3
3. ce^x
4. unsolvable as equation is non-linear

Correct Option: A

Given differential equation is

	dy	+ y² = 0
	dx²

⇒	dy	-dx
	y²

On integration, we get

∫	dy	-∫ dx
	y²

-	1	= x - c
	y

where c is a constant

⇒ -	1	= -(x + c)
	y

∴ y =	1
	x + c