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प्रश्न
The degree of the differential equation `1 + (dy/dx)^2 = x` is ______.
रिक्त स्थान भरें
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उत्तर
The degree of the differential equation `1 + (dy/dx)^2 = x` is 2.
Explanation:
Given differential equation:
`1 + (dy/dx)^2 = x`
Step 1: Definition of Degree
The degree of a differential equation is the power of the highest order derivative after the equation is made free from radicals and fractions involving derivatives.
Step 2: Identify the highest order derivative
Here, the highest order derivative is:
`dy/dx`
It apperrs as:
`(dy/dx)^2`
Step 3: Degree
The highest power of the highest order derivative is 2.
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