# Dydx=logx - Mathematics and Statistics

Sum

dy/dx = log x

#### 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?

#### 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