For what value(s) of the constant a is the differential equation d^2x/dt^2 + (a^2 - 3a)x dx/dt =...


For what value(s) of the constant {eq}a {/eq} is the differential equaiton

{eq}\displaystyle \frac{d^2x}{dt^2} + (a^2 - 3a)x\frac{dx}{dt} = te^{(a-3)x} {/eq}

a linear equation?

Linear Differential Equation:

A Differential Equation is said to be linear if it contains only terms that are linear in the dependent variable or its derivatives. Also the dependent variable and their derivatives should not occur in the multiple operation.

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