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If   are three solutions of a non - homogeneous linear differential equation  where P(x), Q(x) and R(x) are continuous function on [a, b] with a > 0, then its particular solution w.r. to the conditions y(0) = 0 y.O) = 1
  • a)
    Exist and unique
  • b)
    Exist but not unique
  • c)
    Not exist
  • d)
    Two particular solutions exist
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ifare three solutions of a non - homogeneous linear differential equat...
and P.l. = 2ex
= general soln : y(x) = c1xex + c2x2 + 2ex
Now y(0) = 0 =>0 = 2 Not possible
=> No particular solution exist w.r. to given conditions
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Most Upvoted Answer
Ifare three solutions of a non - homogeneous linear differential equat...
and P.l. = 2ex
= general soln : y(x) = c1xex + c2x2 + 2ex
Now y(0) = 0 =>0 = 2 Not possible
=> No particular solution exist w.r. to given conditions
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Ifare three solutions of a non - homogeneous linear differential equationwhere P(x), Q(x) and R(x) are continuous function on [a, b] with a > 0, then itsparticular solution w.r. to the conditions y(0) = 0 y.O) = 1a)Exist and uniqueb)Exist but not uniquec)Not existd)Two particular solutions existCorrect answer is option 'C'. Can you explain this answer?
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Ifare three solutions of a non - homogeneous linear differential equationwhere P(x), Q(x) and R(x) are continuous function on [a, b] with a > 0, then itsparticular solution w.r. to the conditions y(0) = 0 y.O) = 1a)Exist and uniqueb)Exist but not uniquec)Not existd)Two particular solutions existCorrect answer is option 'C'. 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 Ifare three solutions of a non - homogeneous linear differential equationwhere P(x), Q(x) and R(x) are continuous function on [a, b] with a > 0, then itsparticular solution w.r. to the conditions y(0) = 0 y.O) = 1a)Exist and uniqueb)Exist but not uniquec)Not existd)Two particular solutions existCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ifare three solutions of a non - homogeneous linear differential equationwhere P(x), Q(x) and R(x) are continuous function on [a, b] with a > 0, then itsparticular solution w.r. to the conditions y(0) = 0 y.O) = 1a)Exist and uniqueb)Exist but not uniquec)Not existd)Two particular solutions existCorrect answer is option 'C'. Can you explain this answer?.
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