Question:
(e) The degree of the differential equation \( d^2y/dx^2 = \sqrt{x} + \left(\frac{dy}{dx}\right)^2 \) is:
(e) The degree of the differential equation \( d^2y/dx^2 = \sqrt{x} + \left(\frac{dy}{dx}\right)^2 \) is:
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Degree of a differential equation is the exponent of the highest order derivative after clearing radicals and fractions.
Updated On: Feb 27, 2025
- \( 4 \)
- \( 3 \)
- \( 1 \)
- \( 2 \)
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The Correct Option is C
Solution and Explanation
Step 1: Identify the highest derivative.
\[
d^2y/dx^2
\]
Step 2: Find the exponent of the highest order derivative after clearing radicals.
Since the highest derivative appears with power 1, the degree is 1
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