Solution: Which of the following equations is a variable separable DE?

Which of the following equations is a variable separable DE? How to determine a variable separable differential equation?

Which of the following equations is a variable separable DE?

Problem Statement:

Which of the following equations is a variable separable DE?

  • A. (x + x2 y) dy = (2x + xy2) dx
  • B. (x + y) dx – 2y dy = 0
  • C. 2y dx = (x2 + 1) dy
  • D. y2 dx + (2x – 3y) dy = 0

Problem Answer:

The variable separable DE is C. 2y dx = (x2 + 1) dy.

Solution:

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