1804 Practice problems exam 2, Spring 18 Solutions Problem 1 Harmonic functions (a) Show u(x;y) = x3 3xy2 3x2 3y2 is harmonic and nd a harmonic conjugate It's easy to compute u x= 3x2 3y2 6x;Using the above identity taking a = x − y, b = y − z and c = z − x, we have a b c = x − y y − z z − x = 0 then the equation (x − y) 3 (y − z) 3 (z − x) 3 can be factorised as followsFind the Maclaurin series expansion for f = sin(x)/x The default truncation order is 6 T = x^5/1 x^3/6 x y^4/24 y^2/2 z^5/1 z^4/24 z^3/6 z^2/2 z 2 You can use the sympref function to modify the output order of a symbolic polynomial Redisplay the polynomial in ascending order
The 1 3 Km Road Expansion Cost Near Ap Cm Ys Jagan House Is 5 Crores Social News Xyz
