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

question 34

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $y ^ { \prime } = e ^ { - 9 x } - 9 y$ Initial condition: $\mathrm { y } ( - 9 ) = 0$
Solution candidate: $y = ( x + 9 ) e ^ { - 9 x }$

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Definitions:

Internal Rate

Commonly identified as the internal rate of return (IRR), this is the discount rate that sets the net present value (NPV) of all cash flows associated with a specific project to zero.

Discounted Cash Flow

A valuation method used to estimate the value of an investment based on its expected future cash flows, adjusted for time value of money.

Working Capital

The difference between a company's current assets and current liabilities, indicating the short-term liquidity.

Cash Outflow

Payments or expenditures made by a business or an individual, leading to a decrease in cash assets.