हिंदी

Write the Order of the Differential Equation Whose Solution Is Y = A Cos X + B Sin X + C E−X.

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प्रश्न

Write the order of the differential equation whose solution is y = a cos x + b sin x + c e−x.

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उत्तर

\[y = a \cos x + b \sin x + c e^{- x} \]
Here, we see that there are three arbitary constants . 
Therefore, we differentiate it three times to get rid of all three arbitrary constants . 
Hence, the order of the differential equation is 3 .

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अध्याय 21: Differential Equations - Very Short Answers [पृष्ठ १३८]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 21 Differential Equations
Very Short Answers | Q 15 | पृष्ठ १३८

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