Solve xlogx dy/dx+y=2 logx Derivatives

Expert Answers

An illustration of the letter 'A' in a speech bubbles

You need to separate the variables such that:

`dy = (2log x dx)/(x log x)`

You need to divide by log x to the right side such that:

`dy = (2/x) dx`

You need to integrate both sides such that:

`int dy = int (2/x) dx`

`y = 2ln|x| + c`

`y = ln (x^2) + c`

Hence, evaluating the general solution to equation yields `y = ln (x^2) + c.`

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial