dy/dx=1/x²y, given that x=1, y=2

Answer 1

I assume you are looking for the particular solution of y' = 1/x²y, given that x = 1, y = 2.

Use separation of variables to obtain

yy' = 1/x²

Take the integral of both sides to obtain

f(y) = g(x) + C

Then, substitute x =1, y = 2 to determine the value of C.