What are the order and degree respectively of the differential equation?
Direction: Consider the following for the two (02) items that follow : Let y\,dx+(x-y^{3})dy=0 be a differential equation.
- A. 1 and 1 ✓
- B. 1 and 2
- C. 2 and 1
- D. 1 and 3
Correct Answer: A. 1 and 1
Explanation
The given differential equation can be written as \frac{dx}{dy} + \frac{1}{y}x = y^2. The highest order derivative present is the first derivative (\frac{dx}{dy} or \frac{dy}{dx}), which makes the order 1. The power of this highest derivative is also 1, making the degree 1.
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