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

question 74

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $6 x y ^ { \prime } + 6 y = \cos x$
Initial condition: $y ( \pi ) = 0$
Solution candidate: $y = \frac { 6 \sin x } { x }$

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Definitions:

Times Interest Earned

Times Interest Earned, or TIE, is a financial ratio that compares a company’s operating income to its interest expenses to measure its ability to meet debt obligations.

Interest Expense

The cost incurred by an entity for borrowed funds; this expense is a non-operating cost that appears on the income statement.

Decimal Place

The position of a number to the right of a decimal point, indicating the precision or fractional part of the number.

Stockholders' Equity

The residual interest in the assets of a corporation after deducting liabilities, representing the ownership equity held by stockholders.