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Name: Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 6
Uploaded: Tue, 2021-08-24 17:41
Description: Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 6

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

#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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Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 6

Answers (1)

Answer:

$e^{y}=e^{x}+c$

Hint:

First use the variable separation method then integrating both sides.

Given:

$\frac{\mathrm{d} y}{\mathrm{d} x}=e^{x-y}$

Solution:

$\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{e^{x}}{e^{y}}$

$\Rightarrow \int e^{y}dy=\int e^{x}dy$

$\Rightarrow e^{y}=e^{x}+c$

So, the answer is

$e^{y}=e^{x}+c$

Posted by

Gurleen Kaur

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Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 6

Answers (1)

Posted by

Gurleen Kaur

Crack CUET with india's "Best Teachers"

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