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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.
$\frac{\text{d}^2\text{y}}{\text{dx}^2} =\text{cos} 3\text{x}+\text{sin} 3\text{x}$
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Answer

The given differential equation is
$\frac{\text{d}^2\text{y}}{\text{dx}^2} =\text{cos} 3\text{x}+\text{sin} 3\text{x}$
The highest order derivative present in the given differential equation is $\frac{\text{d}^2\text{y}}{\text{dx}^2}$ and index of its highest power is 1.
$\therefore$ the given differential equation is of order is 2 and degree 1.

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