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Explain solution RD Sharma class 12 chapter 21 Differential Equation exercise Fill in the blank question 36 maths

Answers (1)


 Order = 2, Degree = 1


 Order=Highest Derivative

Degree=Highest power of highest Derivative


 The order and degree of the differential equation 

\frac{\mathrm{d} }{\mathrm{d} x}\left ( \frac{\mathrm{d} y}{\mathrm{d} x} \right )^{4}

are ____respectively.


By using chain we will evaluate the derivative

\frac{\mathrm{d} }{\mathrm{d} x}\left ( \frac{\mathrm{d} y}{\mathrm{d} x} \right )^{4}

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

∴Order = Highest Derivative i.e. 2

∴ Degree = The highest power the highest derivative is 1

So the order and degree are 2,1 respectively.

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Gurleen Kaur

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