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CSIR NET Mathematics 2023|ODE & PDE ( 5 JUNE 2023)
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Question 1
Integrating factor of (x7y2+3y)dx+(3x8y-x)dy=0 is xmyn
Question 2
Consider the ODE
U’’(t)+p(t)u’(t)+Q(t)u(t)=R(t), where t in [0,1]
There exist continuous function P.Q.R defined on [0,1] and two solutions u1 and u2 of the ODE such that the wronskian W of u1 and u2 is
Question 3
For the differential equation 4x3y’’+6x2y’+y=0 point at infinity is
Question 4
What is the CF of the Differential Equation 
?
Question 5
The P.I of the D.E by x3
Given that y=1/x,1,x are three linearly independent solutions.
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Jun 5CSIR NET & SET
