IIT JAM Follow
July 21, 2020 10:46 pm 30 pts
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- d= 0 (6) a +b+c+d=0 (c) a - b +c-d=0 (d) a-b-c- d= 0 34.
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See the attachment
• Deepak singh
proof of option b , a is also correct
Deepak singh
option b is true
• Shashi ranjan sinha
see the attachment. first option is also satisfied with the values of a,b,c,d....so it is also correct
Sourav Jana
okay but please see this . is it wrong?
• Vishal 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...
Sourav Jana
but I get option a & b
• Sourav Jana
but I think ans is a & b
Sourav Jana
but I see that given ans is b
• Chandra dhawan
ans b is correct dear....
Chandra dhawan
see
• Vaishali sharma
i think it should be option b