Find the complete integral of xp +3yq = 2(z-x^2.q^2).
Find the complete integral of p3 +q^3 = 27z.
Find the integral surface of x(y^2+z)p-y( x^2+z)q=(x^2-y^2)z through the straight through the x+y = 0,z = 1.
Eliminate the arbitrary function from 2=xy+f(x^2+y^2) to obtain the partial differencial equation.
∮|z|=1 (z+z̄)dz
The residue at z=2 of the function 2z/(2-z)(z+2) is
∮|z|=1 (2z+z̄)dz
Let f(z)=sinz/z^{4} . Then z=0 is
The radius of convergence of the Taylor series expansion of the function f(z)=4z^{2}+3z/(z-1)^{2}(z+4)(z-3) abou z=-1 is