The solution at x = 1, t = 1 of the partial differential equation ∂2u/∂x2 = 25 ∂2u/∂t2 subject to initial conditions of u(0) = 3x and ∂u/∂t(0) = 3 is _______.

The solution (up to three decimal places) at x = 1 of the differential equation d2y/dx2 + 2 dy/dx + y = 0 subject to boundary conditions y(0) = 1 and dy/dx(0) =...

The solution of the equation x (dy/dx) + y = 0 passing through the point (1, 1) is