CBSE Class 12 Math 2019 All India Set 1 Solved Paper

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Question : 3
Total: 29
Write the order and the degree of the differential equation (‌
d4y
dx4
)
2
=[x+(‌
dy
dx
)
2
]
3
.
Solution:  
The given differential equation is (‌
d4y
dx4
)
2
=[x+(‌
dy
dx
)
2
]
3
(‌
d4y
dx4
)
2
=x3+(‌
dy
dx
)
6
+3x2(‌
dy
dx
)
2
+3x(‌
dy
dx
)
4

The highest order derivative in the differential equation is ‌
d4y
dx4
⇒
Order of the given differential equation is 4 .
The highest power raised to ‌
d4y
dx4
is 2⇒ Degree of the given differential equation is 2 .
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