Solve the Initial-Value Problem $y ^ {tt } + 3 y ^ { t } - 4 y = 0 , y ( 0 ) = 2 , y ^ { t } ( 0 ) = 1$

question 60

Multiple Choice

Solve the initial-value problem. $y ^ {tt } + 3 y ^ { t } - 4 y = 0 , y ( 0 ) = 2 , y ^ { t } ( 0 ) = 1$

• A) \(y = e ^ { x } + \frac { 1 } { 5 } e ^ { - 3 x }\)
• B) \(y = \frac { 1 } { 5 } e ^ { 2 x } + \frac { 9 } { 5 } e ^ { - 2 x }\)
• C) \(y = \frac { 9 } { 5 } e ^ { x } + \frac { 1 } { 5 } e ^ { - 4 x }\)
• D)\(y = e ^ { 2 x } + \frac { 1 } { 5 } e ^ { - 2 x }\)
• E) None of these

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Definitions:

Revenue Variances

The difference between actual revenue and budgeted or forecasted revenue, indicating if a business is performing above, on, or below expectations.

Spending Variances

Differences between actual spending and budgeted amounts in a company's budget, indicating over or underspending.

Departmental Managers

Individuals responsible for overseeing the operations of specific departments within an organization, ensuring goals and objectives are met.

Budgeting

Budgeting is the process of creating a plan to spend your money, allocating financial resources to various tasks or departments within an organization.