GATE CE 2022 Set 1 — Question 12
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Engineering Mathematics → Ordinary Differential Equations
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Question
For the equationthe correct description is
Correct answer
(A) an ordinary differential equation of order 3 and degree 2.
Solution
The order of a differential equation is the highest derivative present, which is , so the order is 3.
The degree is the power of the highest order derivative when the equation is free from radicals and fractional powers in its derivatives.
Rearranging the equation:Squaring both sides to remove the fractional power:The power of the highest order derivative is now 2. Therefore, the degree is 2.
The degree is the power of the highest order derivative when the equation is free from radicals and fractional powers in its derivatives.
Rearranging the equation:Squaring both sides to remove the fractional power:The power of the highest order derivative is now 2. Therefore, the degree is 2.
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