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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
Let v be the space of twice differentiable functions on r satisfying f"-2f'+f=0 . define t:vrby t(/)=(s(0).s(0)) . then t is (a.) one-to-one and onto. (b.) one-
Let V be the space of twice differentiable functions on R satisfying f"-2f'+f=0 . Define T:VRby T(/)=(s(0).s(0)) . Then T is (a.) one-to-one and onto. (b.) one-to-one but not onto. (c.) onto but not one-to-one. (d.) neither one-to-one nor onto. please explain what is the answer and how?
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Anonymous User Best Answer
A check attachment
how u check onto i didn't understand..
taking (a,b) find C1+C2=a C1=b solve C1 = b C2=a-b then (b+(a-b)x) e^x satisfy given eq
understand
check pre image of each element
thank u sir 😊