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If the roots of the auxiliary equation corresponding to the differential equation  be m1 and m2 such that m1 and m2 are both real and distinct, then the general solution of the given equation is y = c1em1x + c2em2x where
  • a)
    c1 and c2 are both negative constants
  • b)
    c1 and c2 are any arbitrary constants
  • c)
    c1 and c2 are of opposite signs
  • d)
    c1 and c2 are of the same sign
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the roots of the auxiliary equation corresponding to the differenti...
The constants c1 and c2 are arbitrary and are evaluated with the help of prescribed conditions.
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If the roots of the auxiliary equation corresponding to the differential equationbe m1and m2such that m1and m2 are both real and distinct, then the general solution of the given equation isy = c1em1x + c2em2xwherea)c1and c2areboth negative constantsb)c1and c2 are any arbitrary constantsc)c1and c2 are of opposite signsd)c1and c2 are of the same signCorrect answer is option 'B'. Can you explain this answer?
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If the roots of the auxiliary equation corresponding to the differential equationbe m1and m2such that m1and m2 are both real and distinct, then the general solution of the given equation isy = c1em1x + c2em2xwherea)c1and c2areboth negative constantsb)c1and c2 are any arbitrary constantsc)c1and c2 are of opposite signsd)c1and c2 are of the same signCorrect 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 the roots of the auxiliary equation corresponding to the differential equationbe m1and m2such that m1and m2 are both real and distinct, then the general solution of the given equation isy = c1em1x + c2em2xwherea)c1and c2areboth negative constantsb)c1and c2 are any arbitrary constantsc)c1and c2 are of opposite signsd)c1and c2 are of the same signCorrect 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 the roots of the auxiliary equation corresponding to the differential equationbe m1and m2such that m1and m2 are both real and distinct, then the general solution of the given equation isy = c1em1x + c2em2xwherea)c1and c2areboth negative constantsb)c1and c2 are any arbitrary constantsc)c1and c2 are of opposite signsd)c1and c2 are of the same signCorrect answer is option 'B'. Can you explain this answer?.
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