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If y = In (sin (x + a)) + b, where a and b are constants, is the primitive, then the corresponding lowest order differential equation is
  • a)
    y" = - (1 + (y')2
  • b)
    y" =y2 - (y')2
  • c)
    y" = 1 + (y')2
  • d)
    y" =y' + y2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If y = In (sin (x + a)) + b, where a and b are constants, is the primi...
we have y = In sin (x + a ) + b
implies y'= cot (x + a)
implies y" = - cosec2 (x + a)
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Most Upvoted Answer
If y = In (sin (x + a)) + b, where a and b are constants, is the primi...
we have y = In sin (x + a ) + b
implies y'= cot (x + a)
implies y" = - cosec2 (x + a)
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Community Answer
If y = In (sin (x + a)) + b, where a and b are constants, is the primi...
The corresponding lowest order differential equation is:

dy/dx = a*cos(x*a)*b

This is obtained by applying the chain rule when differentiating the expression y = In (sin (x*a)) * b.
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If y = In (sin (x + a)) + b, where a and b are constants, is the primitive, then the corresponding lowest order differential equation isa)y"= - (1 + (y')2)b)y" =y2 - (y')2c)y" = 1 + (y')2d)y" =y' + y2Correct answer is option 'A'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If y = In (sin (x + a)) + b, where a and b are constants, is the primitive, then the corresponding lowest order differential equation isa)y"= - (1 + (y')2)b)y" =y2 - (y')2c)y" = 1 + (y')2d)y" =y' + y2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If y = In (sin (x + a)) + b, where a and b are constants, is the primitive, then the corresponding lowest order differential equation isa)y"= - (1 + (y')2)b)y" =y2 - (y')2c)y" = 1 + (y')2d)y" =y' + y2Correct answer is option 'A'. Can you explain this answer?.
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