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For the differential equation x*(dy/dx) + 3/(dy/dx) = y², which one of the following statements is correct?
- It is of order 1
- It is of degree 2
- It is linear
- It is non-linear
Correct answer: It is of order 1
Solution
Multiplying by dy/dx gives x(dy/dx)² - y²(dy/dx) + 3 = 0: the highest derivative is the first, so the order is 1 (degree 2 and non-linear are also true, but order 1 is the basic correct statement).
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