euler.mws Example 1: Solve x^2*diff(y(x),x,x)+2*x*diff(y(x),x)-12*y(x)=0 . Example 2: Solve x^2*diff(y(x),x,x)-3*x*diff(y(x),x)+4*y(x)=0 . Example 3: Solve x^2*diff(y(x),x,x)+5*x*diff(y(x),x)+13*y(x)=0 . Example 4: Solve a nonhogenous Euler equation x^2*diff(y(x),x,x)+2*x*diff(y(x),x)-12*y(x) = sqrt(x); . Example 5: Solve x^2*diff(y(x),x,x)-2*x*diff(y(x),x)+2*y(x)=3*x^2+2*ln(x) Example 6: Solve x^2*diff(y(x),x,x)+x*diff(y(x),x)+4*y(x)=sin(ln(x)) .