A linear differential equation with constant coefficients is transformed into an easily solvable algebraic equation. If "G" is abelian, nilpotent, solvable, cyclic or finitely generated, then so is . Commutators are used to define nilpotent and solvable groups and the largest abelian quotient group. The basic example of solvable groups are abelian groups. Lie algebra that is both solvable and semisimple. Nevertheless, the modern methods for solving solvable quintic equations are mainly based on Lagrange's method. Since the problem is not exactly solvable in general, it is commonly approximated numerically. In his quarterly papers Ramanujan drew up theorems to make definite integrals more easily solvable. A is isomorphic to "A"(3) (solvable). Any computational problem solvable by a classical computer is also solvable by a quantum computer. Sometimes, the equation will be linear and is more likely to be exactly solvable. The ground state in models solvable by Bethe ansatz is a Fermi sphere. MFT is an approximation method that often makes the original solvable and open to calculation. The problem was therefore shown to be efficiently solvable. These are equally important in the study of solvable models in statistical mechanics.