Question:
Write the degree of differential equation \( (y''')^4 + 3(y'') + 3xy + 5y = 0 \)
Write the degree of differential equation \( (y''')^4 + 3(y'') + 3xy + 5y = 0 \)
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Degree is the highest power of the highest-order derivative in a polynomial differential equation.
Updated On: Nov 11, 2025
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Solution and Explanation
The degree of a differential equation is the highest power of the highest-order derivative.
Here, the highest-order derivative is \( y''' \), with power 4 in \( (y''')^4 \).
The equation is polynomial in derivatives, so the degree is 4.
Answer: 4.
Here, the highest-order derivative is \( y''' \), with power 4 in \( (y''')^4 \).
The equation is polynomial in derivatives, so the degree is 4.
Answer: 4.
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