Identify the following differential equations and hence solve it y=xy'+1-ln y'?
1 Answer
Jul 3, 2018
General Solution:
# bb( y = c x + 1 - ln c )#
and singular solution:
#y = 2 + ln x#
Explanation:
This is in the form of Clairaut's equation:
Differentiate wrt
And factor:
#bbX#
Subbing both
This gives the general solution:
#bbY#
Putting that into
This is a singular solution.