Advanced mathematics of ordinary differential equations

Choose c, disassemble and reassemble.

c 1(y 1-y3)+C2(y2-y3)+y3

Where y 1-y3 y2-y3 is the general solution of homogeneous equation, so the general solution of c1(y1-y3)+C2 (y2-y3) is also the special solution of non-homogeneous equation.

General solution of homogeneous equation+special solution of nonhomogeneous equation = general solution of nonhomogeneous equation

So c is a general solution.

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