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If y1 = xm and y2 = xn. where m and n are constants, are two solutions of a 2nd order homogeneous linear differential equation with constant coefficient, then y = C1y1 + C2y2 be a solution if,
  • a)
    m + n = 1 only
  • b)
    m ≠ n
  • c)
    m = n
  • d)
    m = -n only
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If y1 = xm and y2 = xn. where m and n are constants, are two solutions...
In order that y = C1y1 + C2y2 may be the G.S. o f the given equation , y1 and y2 must b e L.l. Hence the wronskian o f y, and y2 m ust b e non zero
So w(y1 ,y2) ≠ 0 showing that  m≠n.
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Most Upvoted Answer
If y1 = xm and y2 = xn. where m and n are constants, are two solutions...
M + n = 1 onlyc)m - n = 1 onlyd)m = n = 1 only
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If y1 = xm and y2 = xn. where m and n are constants, are two solutions of a 2nd order homogeneous linear differential equation with constant coefficient, then y = C1y1 + C2y2 be a solution if,a)m + n = 1 onlyb)m≠nc)m = nd)m = -n onlyCorrect answer is option 'B'. Can you explain this answer?
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If y1 = xm and y2 = xn. where m and n are constants, are two solutions of a 2nd order homogeneous linear differential equation with constant coefficient, then y = C1y1 + C2y2 be a solution if,a)m + n = 1 onlyb)m≠nc)m = nd)m = -n onlyCorrect answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If y1 = xm and y2 = xn. where m and n are constants, are two solutions of a 2nd order homogeneous linear differential equation with constant coefficient, then y = C1y1 + C2y2 be a solution if,a)m + n = 1 onlyb)m≠nc)m = nd)m = -n onlyCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If y1 = xm and y2 = xn. where m and n are constants, are two solutions of a 2nd order homogeneous linear differential equation with constant coefficient, then y = C1y1 + C2y2 be a solution if,a)m + n = 1 onlyb)m≠nc)m = nd)m = -n onlyCorrect answer is option 'B'. Can you explain this answer?.
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