Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative. The integrating factor of dydx+y=e-x - Mathematics and Statistics

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MCQ

Choose the correct alternative.

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

Options

  • x

  • – x

  • e

  • e –x

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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
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