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CSIR NET Mathematics 2022|ODE & PDE (14 NOVEMBER)
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Question 1Multiple Correct Options
Consider the partial differential equations:
(i)
(ii) 
Which of the following statements are true?
Question 2Multiple Correct Options
Let u (x, t) be the solution of utt = uxx: 0 < x < 1, t > 0, u(x, 0) = x(1 + x), ut(x, 0) = 0 then
Question 3Multiple Correct Options
Let 
be a solution of the ODE, 
then
be a solution of the ODE, then
Question 4
The general solution of the system of differential equations
is given
Question 5
For the initial value problem 
on region 
the largest interval of existence of the solution guaranteed for a unique solution is
on region the largest interval of existence of the solution guaranteed for a unique solution is
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