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Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 30

Answers (1)

Answer:

Order=3 and Degree=1 

Given:

The order and degree of the differential equation

\frac{\mathrm{d} ^{3}y}{\mathrm{d} x^{3}}-3\frac{\mathrm{d} ^{2}y}{\mathrm{d} x^{2}}+2\left ( \frac{\mathrm{d} y}{\mathrm{d} x} \right )^{4}=y^{4}

are ____ and ____ respectively.

Hint:

  Order = Highest Derivative

Degree = Highest power of highest order Derivative

Solution:

Order = Highest Derivative = 3

            Degree = Highest power of highest Derivative = 1

So, the order is 3 and degree is 1.

Posted by

Gurleen Kaur

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