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D Y D X + E Y = 0

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Question

\[\frac{dy}{dx} + e^y = 0\]
One Line Answer
Sum
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Solution

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

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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Chapter 21: Differential Equations - Exercise 22.01 [Page 5]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
Exercise 22.01 | Q 25 | Page 5

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