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DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
Question
Determine order and degree (if defined) of differential equations given in Exercise.
$\frac{\text{d}^{4}{\text{y}}}{\text{d}\text{x}^{4}}+\text{sin}(\text{y"'})=0$
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Answer

The given differential equation is$\frac{\text{d}^{4}{\text{y}}}{\text{d}\text{x}^{4}}+\text{sin}(\text{y"'})=0$
The highest order derivative present in the differential equation is $\frac{\text{d}^{4}\text{y}}{​​\text{dx}^{4}}$
$\therefore$ its order is 4
The given differential equation is not a polynomial equation in its derivative and so its degree is not defined.

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