Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(t) = at2 + bt + c, where a, b, and c are to be determined.

The particular quadratic solution to the ODE is found as follows:









Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:



so that is a characteristic solution to the ODE, and the general solution would be

Iwould say false, not positive but if prices went up for both stores, technically there will be less buyers?

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