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  is the solution of the differential equation, D2y + 1 (1 - cot x) Dy - y cot x = sin2 x then
  • a)
    f(x) = sin 2x – 2 cos 2x and g(x) = cos x – sin x
  • b)
    f(x) = 2 cos 2x – sin 2x and g(x) = sin x – cos x 
  • c)
    f(x) = sin 2x – 2 cos x and g(x) = sin x – cos x
  • d)
    f(x) = 2 cos x – sin 2x and g(x) = cos x – sin x
Correct answer is option 'B'. Can you explain this answer?
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is the solution of the differential equation, D2y + 1 (1 - cot x) Dy -...
We have P = 1 – cot xQ = –cot x and so 1 – P + Q = 0.
Thus ex is an integral of D2y + (1 – cot xDy – y cot x = 0
The given equation now becomes
Hence,  is the required solution.
The correct answer is: f(x) = 2 cos 2x – sin 2x and g(x) = sin x – cos x
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is the solution of the differential equation, D2y + 1 (1 - cot x) Dy - y cot x = sin2 x thena)f(x) = sin 2x– 2 cos 2xandg(x) = cosx– sinxb)f(x) = 2 cos 2x– sin 2xandg(x) = sinx– cosxc)f(x) = sin 2x– 2 cosxandg(x) = sinx– cosxd)f(x) = 2 cosx– sin 2xandg(x) = cosx– sinxCorrect answer is option 'B'. Can you explain this answer?
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is the solution of the differential equation, D2y + 1 (1 - cot x) Dy - y cot x = sin2 x thena)f(x) = sin 2x– 2 cos 2xandg(x) = cosx– sinxb)f(x) = 2 cos 2x– sin 2xandg(x) = sinx– cosxc)f(x) = sin 2x– 2 cosxandg(x) = sinx– cosxd)f(x) = 2 cosx– sin 2xandg(x) = cosx– sinxCorrect answer is option 'B'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about is the solution of the differential equation, D2y + 1 (1 - cot x) Dy - y cot x = sin2 x thena)f(x) = sin 2x– 2 cos 2xandg(x) = cosx– sinxb)f(x) = 2 cos 2x– sin 2xandg(x) = sinx– cosxc)f(x) = sin 2x– 2 cosxandg(x) = sinx– cosxd)f(x) = 2 cosx– sin 2xandg(x) = cosx– sinxCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for is the solution of the differential equation, D2y + 1 (1 - cot x) Dy - y cot x = sin2 x thena)f(x) = sin 2x– 2 cos 2xandg(x) = cosx– sinxb)f(x) = 2 cos 2x– sin 2xandg(x) = sinx– cosxc)f(x) = sin 2x– 2 cosxandg(x) = sinx– cosxd)f(x) = 2 cosx– sin 2xandg(x) = cosx– sinxCorrect answer is option 'B'. Can you explain this answer?.
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