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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Differential Equations

NDA 2012 · Mathematics · Differential Equations

What is the general solution of the differential equation e^x y d...

What is the general solution of the differential equation extan⁡ydx+(1−ex)sec⁡2ydy=0e^x \tan y d x+\left(1-e^x\right) \sec ^2 y d y=0 ?

Options

  1. Asin⁡y=c(1−ex)\sin y=c \left(1-e^x\right)
  2. Bcos⁡y=c(1−ev)\cos y=c \left(1-e^v\right)
  3. Ccot⁡y=c(1−ex)\cot y=c \left(1-e^x\right)
  4. DNone of the above where cc is the constant of integration.

Correct answer

D. None of the above where cc is the constant of integration.

Step-by-step solution

The correct answer is option D.
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