# Choose the correct alternative. The integrating factor of dydx-y=exis ex, then its solution is - Mathematics and Statistics

MCQ

Choose the correct alternative.

The integrating factor of dy/dx -  y = e^x is ex, then its solution is

#### Options

• ye −x = x + c

• yex = x + c

• yex = 2x + c

• ye−x = 2x + c

#### Solution

The integrating factor of dy/dx -y = e^x is ex, then its solution is ye −x = x + c

Explanation

dy/dx -y = e^x

Here, I.F. = e–x , Q = ex

∴ Solution of the given equation is

y ( I.F.) = int Q ( I.F.) dx + c

∴ ye ^-x = int e^xe^-x dx+c

∴ ye ^-x = int 1dx + c

∴ ye –x = x + c

Concept: Differential Equations
Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 1.1 | Page 172