Machine-translated by Google. Questions are authored in English.
Top

Discussion

The order of a differential equation is the order of

  • A.the highest derivative it contains
  • B.the highest power to which any derivative is raised
  • C.the polynomial formed by its coefficients
  • D.the lowest derivative it contains

Answer: A

Order counts derivatives; degree counts powers. So \( (y'')^{3} + y = 0 \) is of order two and degree three, while \( y''' + (y')^{5} = 0 \) is of order three and degree one, the degree being read from the *highest* derivative present. Confusing the two is the commonest slip in classifying an equation

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.