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

Determine the order and degree of the differential equation ≤ft(d2y/dx2 )3+5dy/dx-3y=0.

1. 2nd order, 3rd degree
2. 3rd order, 2nd degree
3. 2nd order, 2nd degree
4. 3rd order, 3rd degree

Answer

A. 2nd order, 3rd degree

Solution

The highest-order derivative is d2y/dx2 (order 2), raised to the power 3 (degree 3).

More Order and Degree of Differential Equations questions

1. Determine the order and degree of x≤ft(d3y/dx3 )2+≤ft(dy/dx )4=y.
2. Determine the order and degree of the differential equation sqrt(d2y/dx2)+dy/dx=x, after clearing the radical.
3. Classify the differential equation dy/dx+P(x)y=Q(x).
4. Determine the order and degree of ≤ft(dy/dx )2+2xy=x2.
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