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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Satpal singh Best Answer
since they took e^(mx) as a solution of given differential equation so it will satisfy given ODE . take e^(mx) common from bracket since it is not zero for any m and x. so the remaining bracket quantity will be zero. and gives you values of m . from the values of m you can write complementary function.
see this video also. https://youtu.be/durbE3VjXFs