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Formation of the differential equation of the family of curves represented by  y = Ae2x + Be-2x is :
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Formation of the differential equation of the family of curves represe...
y = Ae2x + Be-2x 
dy/dx = 2Ae2x – 2Be-2x
d2y/dx2 = 4Ae2x + 4Be-2x
= 4*y
d2y/dx2 – 4y = 0
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Most Upvoted Answer
Formation of the differential equation of the family of curves represe...
Diiferentiate the eqn twice
y' =2(Ae^2x-Be^2x)
y''=4(Ae^2x+Be^2x)
we get 
y''-4y=0
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Community Answer
Formation of the differential equation of the family of curves represe...
y = Ae2x + Be-2x 
dy/dx = 2Ae2x – 2Be-2x
d2y/dx2 = 4Ae2x + 4Be-2x
= 4*y
d2y/dx2 – 4y = 0
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Formation of the differential equation of the family of curves represented by y = Ae2x+ Be-2xis :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Formation of the differential equation of the family of curves represented by y = Ae2x+ Be-2xis :a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Formation of the differential equation of the family of curves represented by y = Ae2x+ Be-2xis :a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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