аги Solve Laplace's equation, ax² given boundary conditions. u(0, y) = 0, + ay² 0, 0 < x

Let x=x(t) be a twice-differentiable function and consider the second order differential equation x+ax+bx=0(11) Show that the change of variables y = x' and z = x allows Equation (11) to be written as a system of two linear differential equations in y and z. Show that the characteristic equation of the system in part (a) is 2+a+b=0.

1. (+y + ) (1+? + +) 9. Integrate the function f(r,y, 2) = over the entire 3D coordinate system, i.e., all of R'.