a_{n}x^{n} d^{n}y/dx^{n} + a_{n-1}x^{n-1} d^{n-1}y/dx^{n-1} + ... + a_{0}y = φ(x)where a _{0}, a_{1}, a_{2}, are constants, is called a homogeneous equation.To solve put x dy/dx = Dyx^{2}d^{2}y/dx^{2} = D(D-1)yx^{3}d^{3}y/dx^{3} = D(D-1)(D-2)ySimilarly higher can be substituted. We get a polynomial to solve. Solve to find complementary function and particular integral. |

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