The Solution Of $y ^ { \prime \prime } + 2 y ^ { \prime } = x + e ^ { x }$

question 27

Multiple Choice

The solution of $y ^ { \prime \prime } + 2 y ^ { \prime } = x + e ^ { x }$ is

• A) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } + x ^ { 2 } / 4 - x / 4 + e ^ { x } / 3\)
• B) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } + x ^ { 2 } / 4 + x / 4 - e ^ { x } / 3\)
• C) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } + x ^ { 2 } / 4 + x / 4 + e ^ { x } / 3\)
• D) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } - x ^ { 2 } / 4 - x / 4 - e ^ { x } / 3\)
• E) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } - x ^ { 2 } / 4 - x / 4 + e ^ { x } / 3\)

Identify examples of negative externalities and public goods.

Grasp the importance of information in market functioning.

Distinguish between social goods and their collective benefits.

Understand the concept of capital in the economic context, including its types (tangible, intangible, human, and social capital).

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Definitions:

Debits

An accounting entry that results in either an increase in assets or a decrease in liabilities or equity on a company's balance sheet.

Credits

Accounting entries that increase liabilities or equity, or decrease assets.

Posting References

Indicators used in accounting to record the transfer of amounts from the journal to the ledger, facilitating the tracking of transactions through the accounting system.

Journal Entry

A record in accounting that documents a transaction in a company's ledger, thereby affecting at least two accounts to keep the accounting equation in balance.