Differential Equations Question 77
Question: Order and degree of differential equation $ \frac{d^{2}y}{dx^{2}}={{{ y+{{( \frac{dy}{dx} )}^{2}} }}^{1/4}} $ are
[MP PET 1996]
Options:
A) 4 and 2
B) 1 and 2
C) 1 and 4
D) 2 and 4
Show Answer
Answer:
Correct Answer: D
Solution:
Making fourth power both the sides, we get the differential equation $ {{( \frac{d^{2}y}{dx^{2}} )}^{4}}=y+{{( \frac{dy}{dx} )}^{2}} $
Obviously, order is 2 and degree is 4.
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