show that the operator L defined by L[y](t)=(integral a to t) s^2y(s)ds is linear; that is, L[cy]=cL[y] and L[y1+y2]=L[y1]+L[y2]. Please explain this question and help me to solve. Thank
show that the operator L defined by L[y](t)=(integral a to t) s^2y(s)ds
is linear; that is, L[cy]=cL[y] and L[y1+y2]=L[y1]+L[y2]. Please explain this question and help me to solve. Thank
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