imo class 12 differential equations

Solve dy/dx + y sec x = tan x. What is its integrating factor?

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Solve dy/dx + y sec x = tan x. What is its integrating factor?

  • A. sec x
  • B. tan x
  • C. sec x + tan x
  • D. sec x − tan x

Answer: C) sec x + tan x

Explanation: P = sec x. IF = e^(∫sec x dx) = e^[log(sec x + tan x)] = sec x + tan x.

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