ODE No. 367

$$f(x^{c}y(x))(bx{y}^{\prime }(x)-a)-x^{a}y(x{)}^b(cy(x)+x{y}^{\prime }(x))=0$$ ✗ Mathematica : cpu = 10.2605 (sec), leaf count = 0

DSolve[-(x^a*y[x]^b*(c*y[x] + x*Derivative[1][y][x])) + f[x^c*y[x]]*(-a + b*x*Derivative[1][y][x]) == 0,y[x],x]
 

, could not solve

DSolve[-(x^a*y[x]^b*(c*y[x] + x*Derivative[1][y][x])) + f[x^c*y[x]]*(-a + b*x*Derivative[1][y][x]) == 0, y[x], x]

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

dsolve(f(x^c*y(x))*(b*x*diff(y(x),x)-a)-x^a*y(x)^b*(x*diff(y(x),x)+c*y(x)) = 0,y(x))
 

, could not solve

dsolve(f(x^c*y(x))*(b*x*diff(y(x),x)-a)-x^a*y(x)^b*(x*diff(y(x),x)+c*y(x)) = 0,y(x))