Classify each of the following integral equations as a Fredholm- or Volterratype integral equation, as linear or nonlinear, and as homogeneous or nonhomogeneous, and identify the parameter \(\lambda\) and the kernel \(K(x, y)\) :

(a) \(u(x)=x+\int_{0}^{1} x y u(y) d y\)

(b) \(u(x)=1+x^{2}+\int_{0}^{x}(x-y) u(y) d y\),

(c) \(u(x)=e^{x}+\int_{0}^{x} y u^{2}(y) d y\),

(d) \(u(x)=\int_{0}^{1}(x-y)^{2} u(y) d y\),

(e) \(u(x)=1+\frac{x}{4} \int_{0}^{1} \frac{1}{(x+y)} \frac{1}{u(y)} d y\).