Engineering Board Exam Reviewer · Order and Degree of Differential Equations · easy

Determine the order and degree of dy/dx=sqrt(1+d2y/dx2).

  1. Order 2, degree 2
  2. Order 1, degree 2
  3. Order 1, degree 1
  4. Order 2, degree 1

Answer

D. Order 2, degree 1

Solution

Squaring to clear the radical gives ≤ft(dy/dx )2=1+d2y/dx2. The highest derivative d2y/dx2 is to the first power, so the order is 2 and the degree is 1.

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