Let m be the order of a given differential equation. Thena)m is any integerb)m is any real numberc)m is any positive integerd)m is any non-negative integerCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Explanation:

m is the order of a given differential equation
- The order of a differential equation is the highest order derivative present in the equation.
- It represents the number of times the highest derivative appears in the equation.

m is any positive integer
- The order of a differential equation is always a positive integer.
- It cannot be negative or zero because it represents the number of derivatives present in the equation.
- The order can be 1, 2, 3, and so on, but it cannot be a fraction, decimal, or negative number.
Therefore, the correct answer is option 'C' - m is any positive integer.

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