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In each of the following examples, verify that the given function is a solution of the corresponding differential equation. Solution D.E. y = ex dydx=y

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Question

In each of the following examples, verify that the given function is a solution of the corresponding differential equation.

Solution D.E.
y = ex  `dy/ dx= y`
Sum
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Solution

y = ex

Differentiating w.r.t. x, we get

`dy/dx = e^x`

∴ `dy/dx = y`

∴ Given function is a solution of the given differential equation.

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Chapter 8: Differential Equation and Applications - Exercise 8.1 [Page 162]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.1 | Q 2.3 | Page 162

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