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Name: Please solve RD Sharma class 12 chapter Differential Equations exercise 21.7 question 1 maths textbook solution
Uploaded: Mon, 2021-08-23 22:05
Description: Please solve RD Sharma class 12 chapter Differential Equations exercise 21.7 question 1 maths textbook solution

#R.D. Sharma
#Maths
#CBSE 12 Class
#Differential Equations
#RD Sharma Vol. 2 Class 12
#School

#1.3
#10.1
#Fill in the blanks
#Multiple Choice Questions (MCQs)
#21.1
#21.2
#21.3
#21.4
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#Case Study Based Questions (CSBQ)
#Revision Exercise (RE)

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Please solve RD Sharma class 12 chapter Differential Equations exercise 21.7 question 1 maths textbook solution

Answers (1)

Answer: $\log y+c=2 x+2 \log |x-1|$

Hint:Separate the terms of x and y and then integrate them.

Given: $(x-1) \frac{d y}{d x}=2 x y$

Solution:

$\begin{aligned} &(x-1) \frac{d y}{d x}=2 x y \\\\ &\frac{d y}{y}=\left(\frac{2 x}{x-1}\right) d x \\\\ &\frac{d y}{y}=2\left(1+\frac{1}{x-1}\right) d x \end{aligned}$

Integrating both sides

$\log y+c=2 x+2 \log |x-1|$

Posted by

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Please solve RD Sharma class 12 chapter Differential Equations exercise 21.7 question 1 maths textbook solution

Answers (1)

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