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Please solve RD Sharma class 12 chapter 21 Differential Equation exercise Fill in the blank question 33 maths textbook solution

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 Order=1 and Degree=3


 Family y = Ax + A3  of curves will correspond to a differential equation of order and degree _____


 Order=Highest Derivative


Given, family of curves is

y=Ax+A^3 \qquad \qquad \dots(i)

\frac{\mathrm{d} y}{\mathrm{d} x}=A

Putting the value of A in equation (i)

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

∴ Order = 1

∴ Degree= Highest power of Derivative=3

∴So, the order is 1 and degree is 3

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Gurleen Kaur

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