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Find the general solution of the differential equation .
  • a)
    3 cos⁡x-2 cos⁡y=C
  • b)
    3 sin⁡x+2 sin⁡y=C
  • c)
    3 cos⁡x+2 tan⁡x=C
  • d)
    3 cos⁡x+2 sin⁡y=C
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Find the general solution of the differential equation .a)3 cosx-2 cos...
Given that, 

Separating the variables, we get
2 cos⁡y dy = 3 sin⁡x dx
Integrating both sides, we get
∫ 2 cos⁡y dy = ∫ 3 sin⁡x dx
2 sin⁡y = 3(-cos⁡x) + C
3 cos⁡x + 2 sin⁡y = C
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Find the general solution of the differential equation .a)3 cosx-2 cosy=Cb)3 sinx+2 siny=Cc)3 cosx+2 tanx=Cd)3 cosx+2 siny=CCorrect answer is option 'D'. Can you explain this answer?
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