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Deepak Patra posted an Question
December 26, 2021 • 18:45 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
20. consider the linear differential equation 0)+34y)+2y=sin xrefo,i) then the set of solutions of the above equation (a.) is a linear space of infinite dimensi
20. Consider the linear differential equation 0)+34y)+2y=sin xrefo,i) Then the set of solutions of the above equation (a.) Is a linear space of infinite dimension (b.) Is a linear space of dimension 3 (c.) Is not a linear space (d.) Is a linear space of dimension less than 3
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Deepak patra
sir can't i think in this way .. that if x1€[0,1] and x2€ [0,1] .. then x1+ x2 may or may not belongs to [0,1] .... so not vector space???
no bcz sum of two Sol is also solution