What is a particular solution to the differential equation dy/dx=ln x/xy and y(1)=2?

Corbin Bradford 2022-09-23 Answered
What is a particular solution to the differential equation d y d x = ln x x y and y(1)=2?
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Answers (1)

asijikisi67
Answered 2022-09-24 Author has 10 answers
first separate it
so y d y d x = ln x x
d y   y = d x   ln x x
y 2 2 = ( ln x ) 2 2 + C
put in the IV
2 2 2 = ( ln 1 ) 2 2 + C   C = 2
y 2 2 = ( ln x ) 2 2 + 2
y 2 = ( ln x ) 2 + 4
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