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CSIR NET Mathematics 2022| ODE & PDE (7 NOV)
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Question 1Multiple 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 2
Let 
be solutions of y” – 2xy + (sin x2) y = 0 such that 
& 
. Then the value of the Wronskian 
at x = 0 is
be solutions of y” – 2xy + (sin x2) y = 0 such that & . Then the value of the Wronskian at x = 0 is
Question 3Multiple Correct Options
The eigen value of the strum Liouville problem are
Question 4
The integral surface satisfying the linear partial differential equation
x(y2+z) p- y (x2+z) q = (x2 – y2)z containing the straight line x+y = 0, z =1 is
Question 5
The general solution of the equation 
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Jul 11CSIR NET & SET
