Sourav Jana Asked a Question

July 21, 2020 10:46 pm

30 pts

IIT JAM
Mathematics (MA)

If general solution of the differential equation ay+ by +cy +dy=0 is linearly spanned by e", sin x and cos x, then which one of the following holds? (a) atb-c-

3 Answer(s)

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Arzoo Best Answer
See the attachment
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S
Shashi ranjan sinha
see the attachment. first option is also satisfied with the values of a,b,c,d....so it is also correct
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Sourav Jana
okay but please see this . is it wrong?
K
Kiran goswami
in this question solutions is the linear span by e^x,sinx and cosx. and diff. eq. is homogeneous so they satisfied the eq., when we put e^x in the equation we get options b, but wh...
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Sourav Jana
but I get option a & b
Sourav Jana
but I think ans is a & b
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Sourav Jana
but I see that given ans is b
Chandra dhawan
ans b is correct dear....
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Chandra dhawan
see
Deepak singh
proof of option b , a is also correct
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Deepak singh
option b is true
K
Kiran goswami
options b is true.
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Dhairya sharma
i think it should be option b
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