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

Determine the order and degree of ≤ft(d2y/dx2 )3+dy/dx=x.

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

Answer

A. Order 2, degree 3

Solution

The highest derivative is d2y/dx2, so the order is 2; it is raised to the power 3, so the degree is 3.

More Order and Degree of Differential Equations questions

  1. Determine the order and degree of the differential equation ≤ft(d2y/dx2 )3+5dy/dx-3y=0.
  2. Determine the order and degree of x≤ft(d3y/dx3 )2+≤ft(dy/dx )4=y.
  3. Determine the order and degree of the differential equation sqrt(d2y/dx2)+dy/dx=x, after clearing the radical.
  4. Classify the differential equation dy/dx+P(x)y=Q(x).
  5. Determine the order and degree of ≤ft(dy/dx )2+2xy=x2.
  6. How many arbitrary constants are typically found in the general solution of a 4th-order differential equation?
  7. Determine the order and degree of dy/dx=sqrt(1+d2y/dx2).
  8. Determine the order and degree of ≤ft(y'' )2+≤ft(y' )3= x.
  9. Determine the order and degree of d3y/dx3+≤ft(dy/dx )4+y=0.

All Order and Degree of Differential Equations questions