2.1324   ODE No. 1324

y(x)=(5x4)y(x)(x1)x(9x6)y(x)(x1)x2

Mathematica : cpu = 0.0195078 (sec), leaf count = 25

DSolve[Derivative[2][y][x] == -(((-6 + 9*x)*y[x])/((-1 + x)*x^2)) + ((-4 + 5*x)*Derivative[1][y][x])/((-1 + x)*x),y[x],x]
 
{{y(x)c1x3c2x2(xlog(x)+1)}}

Maple : cpu = 0.036 (sec), leaf count = 18

dsolve(diff(diff(y(x),x),x) = 1/x*(5*x-4)/(x-1)*diff(y(x),x)-(9*x-6)/x^2/(x-1)*y(x),y(x))
 
y(x)=x2(ln(x)c2x+xc1+c2)