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Speak With a Friendly Mentor. ###### Deepak Patra posted an Question
December 26, 2021 • 13:15 pm 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

• ##### Anonymous User Best Answer

C set of non linear solution bcz it's the contain sinx so perticular sol contain sinx or cosx not closed for scalar multipiction

sir if in case there is 0 instead of sinx ... then it is vector space or not???

if zero the vector space

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