CSIR NET Mathematics 2024|ODE & PDE | 27 April 2024

Let u (x, t) be the solution of u_tt = u_xx: 0 < x < 1, t > 0, u(x, 0) = x(1 + x), u_t(x_­, 0) = 0 then

Let  be solutions of y” – 2xy + (sin x²) y = 0 such that  & . Then the value of the Wronskian  at x = 0 is

The Differential equation with primitive y = A e^-x + B e^2x is

Consider the boundary valued problem is non-zero real number then which of the following is/are incorrect?

The initial surface of the partial differential equation passing through the curve is