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DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
Question
Write the order of the differential equation whose solution is $\text{y}=\text{a} \cos\text{x}+\text{b}\ \sin\text{x}+\text{Ce}^{-\text{x}}.$
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Answer

$\text{y}=\text{a} \cos\text{x}+\text{b}\ \sin\text{x}+\text{Ce}^{-\text{x}}$
Here, we see that there are three arbitary conatants.
Therefore, we differentiant it three times to get rid of all three constant.
Hence, the order of the equation is 3.

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