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Question
The order of the differential equation satisfying
\[\sqrt{1 - x^4} + \sqrt{1 - y^4} = a\left( x^2 - y^2 \right)\] is
Options
1
2
3
4
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Solution
1
The order of a differential equation depends on the number of arbitrary constants in it.
since \[\sqrt{1 - x^4} + \sqrt{1 - y^4} = a\left( x^2 - y^2 \right)\] contains only 1 constant, the order of the differential equation is 1.
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