# Choose the correct alternative. The integrating factor of dydx+y=e-x - Mathematics and Statistics

MCQ

Choose the correct alternative.

The integrating factor of dy/dx + y = e^-x

• x

• – x

• e

• e –x

#### Solution

The integrating factor of dy/dx + y = e^-x - e

Explanation

dy/dx + y = e^-x

The given equation is of the form dy/dx + py =Q

where, P = 1 and Q = e–x

∴ I.F. = e ^(int^(pdx) = e^(int^(1dx) = e^x

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
Miscellaneous Exercise 8 | Q 1.09 | Page 172