MHT CET · Maths · Differential Equations
The degree of the differential equation \(\frac{\mathrm{d}^2 \mathrm{y}}{\mathrm{d} x^2}+3\left(\frac{\mathrm{~d} y}{\mathrm{~d} x}\right)^2=x^2 \log \left(\frac{\mathrm{~d}^2 \mathrm{y}}{\mathrm{d} x^2}\right)\) is
- A \(1\)
- B \(2\)
- C \(3\)
- D Not defined
Answer & Solution
Correct Answer
(D) Not defined
Step-by-step Solution
Detailed explanation
The given differential equation is \(\frac{\mathrm{d}^2 \mathrm{y}}{\mathrm{d} x^2}+3\left(\frac{\mathrm{~d} y}{\mathrm{~d} x}\right)^2=x^2 \log \left(\frac{\mathrm{~d}^2 \mathrm{y}}{\mathrm{d} x^2}\right)\). Due to the presence of the term \(\log \left(\frac{\mathrm{~d}^2 \mathrm{y}}{\mathrm{d} x^2}\right)\), the equation is not a polynomial in its derivatives.
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