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Question
Determine the order and degree of the following differential equation:
`"dy"/"dx" = 3"y" + root(4)(1 + 5 ("dy"/"dx")^2)`
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Solution
The given D.E. is
`"dy"/"dx" = 3"y" + root(4)(1 + 5 ("dy"/"dx")^2)`
∴ `"dy"/"dx" - 3"y" = root(4)(1 + 5 ("dy"/"dx")^2)`
∴ `("dy"/"dx" - 3"y")^4 = 1 + 5 ("dy"/"dx")^2`
This D.E. has highest order derivative `"dy"/"dx"` with power 4.
∴ the given D.E. is of order 1 and degree 4.
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