let f and g be continuous and differentiable on R and assume that f(x) and f'(x) are never equal to zero.Moreover,suppose that for all x element of R,
g'(x)/f'(x)=2[g(x)/f(x)]
given that f(1)=1 ,g(1)=2 and f(2)=3
determine
g(2)

Question

let f and g be continuous and differentiable on R and assume that f(x) and f'(x) are never equal to zero.Moreover,suppose that for all x element of R,
g'(x)/f'(x)=2[g(x)/f(x)]
given that f(1)=1 ,g(1)=2 and f(2)=3 
 determine
g(2)

experimentx · Answer

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take integration on both sides, use f(1) and g(1) to find the value of constant of integration.
then use the relation from it to get value of g(2) from f(2)