Alerts Wishlist Cart

What is the integrating factor for the equation dy/dx + (1/x)y = 2?

Practice Questions

Q1
What is the integrating factor for the equation dy/dx + (1/x)y = 2?
  1. x
  2. e^(ln(x))
  3. e^(ln(x^2))
  4. 1/x

Questions & Step-by-Step Solutions

What is the integrating factor for the equation dy/dx + (1/x)y = 2?
  • Step 1: Identify the equation you have, which is dy/dx + (1/x)y = 2.
  • Step 2: Recognize that this is a first-order linear differential equation.
  • Step 3: Find the coefficient of y, which is (1/x).
  • Step 4: To find the integrating factor, you need to calculate e^(∫(1/x)dx).
  • Step 5: Calculate the integral ∫(1/x)dx, which equals ln(x).
  • Step 6: Substitute the result of the integral back into the expression for the integrating factor: e^(ln(x)).
  • Step 7: Simplify e^(ln(x)), which equals x.
  • Step 8: Conclude that the integrating factor is x.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely