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Determine the Order and Degree (If Defined) of the Following Differential Equation:- Y"' + Y2 + Ey' = 0

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प्रश्न

Determine the order and degree (if defined) of the following differential equation:-

y"' + y2 + ey' = 0

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उत्तर

y"' + y2 + ey' = 0

The highest order derivative in the given equation is y''' and its power is 1.

Therefore, the given differential equation is of third order.

This equation cannot be expressed as a polynomial of derivative.

Thus, the degree is not defined.

i.e., Order = 3 and degree is not defined.

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अध्याय 21: Differential Equations - Revision Exercise [पृष्ठ १४४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 21 Differential Equations
Revision Exercise | Q 1.7 | पृष्ठ १४४

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