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MTH 102 MTH 102 Past Questions Objective Question

Question

The differential equation (y'')2 + (y')3 - 3xy' = 2y is of degree _____.
Options
A 4
B 3
C 2
Correct Answer
D 1
Correct Answer

Option C is the correct answer.

Detailed Explanation

The degree of a differential equation is the power of the highest order derivative, after the equation has been rationalized (i.e., cleared of any fractional powers of derivatives).In the given differential equation (y'')2 + (y')3 - 3xy' = 2y:- The highest order derivative is y'' (second derivative).- The power of this highest order derivative (y'') is 2 (from the term (y'')2).The equation is already rationalized, as there are no fractional powers of derivatives.Therefore, the degree of the differential equation is 2.

Hint

The degree of a differential equation is the exponent of the highest-order derivative after the equation has been made free of radicals and fractions in derivatives.

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