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CSIR NET Mathematics 2024|ODE & PDE | 13 April 2024
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Question 1
The solution of the differential equation
is given by
![](https://gradeup-question-images.grdp.co/liveData/PROJ105954/1655285612289150.png)
Question 2Multiple Correct Options
Consider the differential equation
then
![](https://gradeup-question-images.grdp.co/liveData/PROJ105954/1655285623637591.png)
Question 3
Let
be the solution to the Cauchy problem
,
![](https://gradeup-question-images.grdp.co/liveData/PROJ105954/1655285634473457.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ105954/1655285635134850.png)
Then
Question 4
The solution of the
![](https://gradeup-question-images.grdp.co/liveData/PROJ105954/1655285644651879.png)
Question 5Multiple Correct Options
Consider the differential equation
![](https://gradeup-question-images.grdp.co/liveData/PROJ105954/1655285654954637.png)
Then,
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Apr 13CSIR NET & SET