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

Determine the order and degree of ≤ft(y'' )2+≤ft(y' )3= x.

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

Answer

C. Order 2, degree 2

Solution

The highest derivative is y'' (order 2), raised to the power 2 (degree 2).

More Order and Degree of Differential Equations questions

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

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