Thank you for the replay, I got
y' = x + 0.5√(x2+1) + (x2 / (2√(x2+1))) + (x+√(x2+1) / (x√(x2+1)+x2+1))
I also tried to simplify the (y) in this way:
y = 0.5x2 + 0.5x√(x2+1) + ln(√(x+√(x2+1)))
= .5x(x+√(x2+1)) + 0.5ln(x+√(x2+1))
then putting G(x) = x+√(x2+1)
y becomes...
Hello everyone, this is my first post in "Physics Forums"...
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...