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Determine If the Given Function Y = F(x) Is a Solution

question 73

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Determine if the given function y = f(x) is a solution of the accompanying differential equation.
- y+y=e2xy=7ex+13e2x\begin{array} { l } y ^ { \prime } + y = e ^ { 2 x } \\y = 7 e ^ { - x } + \frac { 1 } { 3 } e ^ { 2 x }\end{array}

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Definitions:

Provincial Marginal Tax Rate

The Provincial Marginal Tax Rate is the tax rate that applies to the last dollar earned and varies by province within a country.

Marginal Tax Rates

The tax rate applied to the last unit of currency earned, important for understanding the tax implications of earning additional income.

Capital Gains

The profit realized from the sale of a capital asset, like stocks or real estate, when the sale price exceeds the purchase price.

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