A Particular Solution of the Differential Equation $y ^ { \prime \prime } - 3 y ^ { \prime } - 4 y = e ^ { 4 x }$

question 21

Multiple Choice

A particular solution of the differential equation $y ^ { \prime \prime } - 3 y ^ { \prime } - 4 y = e ^ { 4 x }$ is

• A) \(y _ { p } = x ^ { 2 } e ^ { 4 x }\)
• B) \(y _ { p } = x e ^ { 4 x } / 7\)
• C) \(y _ { p } = x e ^ { 4 x } / 5\)
• D) \(y _ { y } = e ^ { 4 x }\)
• E) \(y _ { p } = e ^ { 4 x } / 9\)

---

Definitions:

Stockholders' Equity

Stockholders' equity represents the owners' claim after subtracting total liabilities from total assets, indicating the net worth of a company from the shareholders' perspective.

Stockholders' Equity

The residual interest in the assets of a corporation after deducting its liabilities, representing the ownership stake of the shareholders.

Additional Paid-in Capital

The excess amount paid by investors over and above the par value of the shares during the issuance of stock.

Total Assets

The cumulative total of all a company's assets, both current and non-current.