Engineering Board Exam Reviewer · Order and Degree of Differential Equations · medium
Determine the order and degree of the differential equation sqrt(d2y/dx2)+dy/dx=x, after clearing the radical.
- 2nd order, 1st degree
- 2nd order, 2nd degree
- 1st order, 2nd degree
- 2nd order, 1/2 degree
Answer
A. 2nd order, 1st degree
Solution
Squaring both sides after isolating the radical gives d2y/dx2=≤ft(x-dy/dx )2, so the highest-order derivative d2y/dx2 (order 2) now appears to the first power (degree 1).
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