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  • Explain solution RD Sharma class 12 chapter 21 Differential Equation exercise Fill in the blank question 28 maths

Explain solution RD Sharma class 12 chapter 21 Differential Equation exercise Fill in the blank question 28 maths

Answers (1)

Answer:

 Degree = 3

Hint:

 To find the degree of differential equation representing the family of curves y = Ax + A3,we have to eliminate the constant A.

Given:

 The degree of differential equation representing the family of curves y = Ax + A3, where A is arbitrary constant is ______

Solution:

\begin{aligned} &y=Ax + A^{3} \qquad \qquad \dots (i) \\ &\frac{\mathrm{d} y}{\mathrm{d} x}=A\qquad \qquad \dots (ii) \end{aligned}

Using the eqn (ii) in (i), we get

\begin{aligned} &y=\left ( \frac{\mathrm{d} y}{\mathrm{d} x} \right )x+\left ( \frac{\mathrm{d} y}{\mathrm{d} x} \right )^{3} \end{aligned}

Hence, Degree = Highest power of the highest order derivative.

So, the degree of the above differential equation is 3.

Posted by

Gurleen Kaur

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