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Question
Write the order and the degree of the following differential equation: `"x"^3 ((d^2"y")/(d"x"^2))^2 + "x" ((d"y")/(d"x"))^4 = 0`
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Solution
Order is the highest order derivative present in the differential equation
And the degree is the power of the highest order derivative.
We have given the differential equation:
`"x"^3 ((d^2"y")/(d"x"^2))^2 + "x" ((d"y")/(d"x"))^4 = 0`
Here, order is 2 and degree is 2.
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