DSolve[-(b^4*x^(2/v)*y[x])/16 + (-1 + nu)*nu^2*(-1 + 2*nu)*x^2*Derivative[2][y][x] + nu^3*(-2 + 4*nu)*x^3*Derivative[3][y][x] + nu^4*x^4*Derivative[4][y][x] == 0,y[x],x]