Alerts Wishlist Cart

What is the solution to the differential equation dy/dx = y^2?

Practice Questions

Q1
What is the solution to the differential equation dy/dx = y^2?
  1. y = 1/(C - x)
  2. y = C/(x - 1)
  3. y = Cx
  4. y = e^(x + C)

Questions & Step-by-Step Solutions

What is the solution to the differential equation dy/dx = y^2?
  • Step 1: Start with the differential equation dy/dx = y^2.
  • Step 2: Separate the variables by rewriting the equation as dy/y^2 = dx.
  • Step 3: Integrate both sides. The left side becomes -1/y, and the right side becomes x + C (where C is the constant of integration).
  • Step 4: After integration, you have -1/y = x + C.
  • Step 5: Rearrange the equation to solve for y: y = -1/(x + C).
  • Step 6: To match the short solution format, rewrite it as y = 1/(C - x) by changing the sign.
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