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D Y D X + E Y = 0 - Mathematics

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प्रश्न

\[\frac{dy}{dx} + e^y = 0\]
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उत्तर

\[\frac{dy}{dx} + e^y = 0\]

In this differential equation, the order of the highest order derivative is 1 and its power is 1. So, the order of the differential equation is 1 and its degree is 1.

It is a non-linear differential equation, as the exponent of the dependent variable is not equal to 1 (as per expansion series of \[e^y\]).

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अध्याय 22: Differential Equations - Exercise 22.01 [पृष्ठ ५]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 22 Differential Equations
Exercise 22.01 | Q 25 | पृष्ठ ५

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