Question:
The degree of the differential equation
\[
y'+y=\frac{5}{y'}
\]
is
The degree of the differential equation
\[
y'+y=\frac{5}{y'}
\]
is
Show Hint
Degree is the highest power of the highest order derivative after removing fractions and radicals in derivatives.
Updated On: May 7, 2026
- \(1\)
- \(2\)
- \(3\)
- \(4\)
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Given: \[ y'+y=\frac{5}{y'} \]
Step 2: Multiply by \(y'\): \[ (y')^2+yy'=5 \]
Step 3: Rearrange: \[ (y')^2+yy'-5=0 \]
Step 4: The highest power of the highest order derivative \(y'\) is \(2\). \[ \boxed{2} \]
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