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Solving Second Order Linear Differential Equation by Using D-operator

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Use D-operators to find a particular solution to the differential equation:
y^n + y' - 2y= e^-2x

Hence write its general solution. Find the solution that satisfies the initial conditions:
y(0) = 1/3, y'(0) = -1/3

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This solution explains how to find particular solution of second order linear differential equation by using D-operator with step-by-step workings and clear explanations.

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Solution:
The characteristic equation is

so the complementary solution will be

Given
...

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