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I need help with this problem:

Verify that y = (x^2/2) + ((x/2)*√(x^2 + 1)) + ln(√(x+√(x^2 +1))) is a solution of the

equation 2y = x*y' + ln(y').....(1)

I differentiated (y) with respect to (x), and substituted (y' and y) in equation (1), but that

led me to nowhere.

*The problem might be easy, but I study by myself and have no one to consult, I appreciate

any tips or hints, thanks in advance.