A) \[4,\,\,3\]
B) \[3,\,\,4\]
C) \[4,\,\,5\]
D) \[5,\,\,4\]
Correct Answer: A
Solution :
\[{{\left( \frac{{{d}^{4}}y}{d{{x}^{4}}} \right)}^{3/5}}-5\frac{{{d}^{3}}y}{d{{x}^{3}}}+6\frac{{{d}^{2}}y}{d{{x}^{2}}}-8\frac{dy}{dx}+5=0\] \[\Rightarrow \] \[{{\left( \frac{{{d}^{4}}y}{d{{x}^{4}}} \right)}^{3}}={{\left( 5\frac{{{d}^{3}}y}{d{{x}^{3}}}-6\frac{{{d}^{2}}y}{d{{x}^{2}}}+8\frac{dy}{dx}-5 \right)}^{5}}\] Which is the differential equation of order \[4\] and degree\[3\]. (because order is equal to highest order derivative and degree is equal to highest power of highest order derivative).
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