If `m\ a n d\ n` are the order the degree of the differential equation `(y_2)^5+(4(y_2)^3)/(y_3)+y_3=x^2-1,` then a. `m=3,\ n=3` b. `m=3,\ n=2` c. `m=3,\ n=5` d. `m=3,\ n=1`

Explanation

b is correct answer


`(y_{2})^{5}+4(y_{2})^{3} / y_{3}+y^{3}=x^{2}-1 `

`
Rightarrow y_{3}(y_{2})^{5}+4(y_{2})^{3}+(y_{3})^{2}=y_{3}(x^{2}-1)`



Highest order of derivative equation.
`=3=m`


Highest power of highest is `(y_{3})^{2}`

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