Solve the differential equation using the method of variation of parameters. 
Definitions:
Payoff Table
A Payoff Table is a tabular representation of the outcomes, or payoffs, resulting from different decisions or strategies under various conditions or scenarios.
Environmentally Safe Material
A material that does not harm the environment, either in its production, use, or disposal.
Opportunity Loss Table
A decision-making table that outlines the losses associated with failing to choose the optimal action or decision under uncertainty.
Expected Payoff
The predicted return of an investment, calculated by aggregating the potential outcomes weighted by their probabilities.
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