For each of the following differential equations verify that the accompanying functions a solution. Differential Function
(a)`x(dy)/(dx)=y,` `y=a x`
(b)`x+y(dy)/(dx)=0,` `y=+-sqrt(a^2-x^2)`
(c)`x(dy)/(dx)y=y^2,` `y=a/(x+a)`
(d)`x^3(d^2y)/(dx^2)=1,` `y=a x+b+1/(2x)`
(e)`y=((dy)/(dx))^2,` `y=1/4(x+-a)^2`