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Dydx=logx - Mathematics and Statistics

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Sum

 `dy/dx = log x`

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Solution

 `dy/dx = log x`

∴ dy = log x dx

Integrating on both sides, we get

∫ 1 dy =∫  (log x × 1) dx

∴ `y = log x ( int1dx )  – int [ d/dx (logx) int  1dx] `

∴ `y = log x(x) – int (1/x xx x ) dx`

= x log x – ∫ 1dx

∴ y = x log x – x + c

Concept: Differential Equations
  Is there an error in this question or solution?
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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 4.16 | Page 173
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