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If (c1 logx + c2)x2 is the general solution of the differential equation 
then k equals
then k equals - a)1
- b)-2
- c)3
- d)-3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If (c1 logx + c2)x2 is the general solution of the differential equati...
Given differential equation is
--(1)and it’s general solution is
(c1 log x + c2) x2 ..(2)
Since (1) is homogeneous differential equation so put then (1) reduce to
It’s A.E is m2 + m(k - 1) + 4 = 0 • • (3)
Now from (2) we have
Now from (2) we have
By observation we can say that (3) has solution m = 2,
... (4)On comparing (3) and (4). we have
k-1 = -4
k=-3
Most Upvoted Answer
If (c1 logx + c2)x2 is the general solution of the differential equati...
Given differential equation is
--(1)and it’s general solution is
(c1 log x + c2) x2 ..(2)
Since (1) is homogeneous differential equation so put then (1) reduce to
It’s A.E is m2 + m(k - 1) + 4 = 0 • • (3)
Now from (2) we have
Now from (2) we have
By observation we can say that (3) has solution m = 2,
... (4)On comparing (3) and (4). we have
k-1 = -4
k=-3
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If (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. Can you explain this answer?
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If (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. 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 (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. 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 (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. Can you explain this answer?.
If (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. 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 (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. 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 (c1 logx + c2)x2 is the general solution of the differential equationthen k equalsa)1b)-2c)3d)-3Correct answer is option 'D'. Can you explain this answer?.
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