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The **degree** of a differential equation is:
AThe total number of derivatives in the equation
BThe power (positive integer) of the highest-order derivative when the equation is free from radicals and fractions
CThe order of the highest derivative
DAlways equal to 1
Answer & Solution
Correct answer: B. The power (positive integer) of the highest-order derivative when the equation is free from radicals and fractions
Degree = exponent of the highest-order derivative, after the equation is made polynomial in derivatives (no fractional/radical powers). Order and degree must be positive integers. e.g. $(d^2y/dx^2)^2 + (dy/dx)^2 = e^x$ has order 2, degree 2.
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