If y = 1, y = x, y = x ^ 2 are known to be three solutions of a second order non-homogeneous linear differential equation, then the general solution of the equation is______ Just understand the principle,

Non homogeneous general solution = homogeneous general solution + non-homogeneous special solution
And y = 1, y = x, y = x ^ 2 are linearly independent, so the difference between any two + the third is the general solution
For example, it can be C1 (x ^ 2-1) + C2 (x ^ 2-x) + 1

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