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Question

Find order and degree (if defined) of the differential equation d4ydx4+sin(d3ydx3)=0.

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Solution

Given d4ydx4+sin(d3ydx3)=0
Order of differential equation is the maximum times y differentiated wrt x
d4ydx4 (4 times y differentiated wrt x)
order =4
degree = power of highest order differential =1(d4ydx4)

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