# 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 - Mathematics and Statistics

Sum

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

#### 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.

Concept: Differential Equations
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#### APPEARS IN

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