2.1673   ODE No. 1673

a(ey(x)1)+x2y(x)=0

Mathematica : cpu = 25.8071 (sec), leaf count = 0

DSolve[a*(-1 + E^y[x]) + x^2*Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[a*(-1 + E^y[x]) + x^2*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0

dsolve(x^2*diff(diff(y(x),x),x)+a*(exp(y(x))-1)=0,y(x))
 

, result contains DESol or ODESolStruc

y(x)=_a&where[{dd_a_b(_a)=(ae_aa)_b(_a)3_b(_a)2},{_a=y(x),_b(_a)=1x(ddxy(x))},{x=e_b(_a)d_a+c1,y(x)=_a}]