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The solution of the differential equation dy = (1 + y2) dx is

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  1. y = tan x + c
  2. y = tan (x + c)
  3. tan-1 (y + c) = x
  4. tan-1 (y + c) = 2x

Answer (Detailed Solution Below)

Option 2 : y = tan (x + c)
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Detailed Solution

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Concept:

Calculation:

Given: dy = (1 + y2) dx

Integrating both sides, we get

⇒ y = tan (x + c)

∴ The solution of the given differential equation is y = tan (x + c).

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