Solve the Differential Equation $y ^ { tt } + y = 6 \sec x \text { by the method of variation of }$

question 38

Multiple Choice

Solve the differential equation $y ^ { tt } + y = 6 \sec x \text { by the method of variation of }$ parameters.

• A) \(y = \left( C _ { 1 } + 6 \cot x \right) \cos x + \left( C _ { 2 } + 6 x ^ { 2 } \right) \sin x\)
• B) \(y = \left( C _ { 1 } + 6 \ln | \sin x | \right) \cos x + \left( C _ { 2 } + 6 x \right) \sin x\)
• C) \(y = \left( C _ { 1 } + 6 \tan x \right) \cos x + \left( C _ { 2 } + 6 x \right) \sin x\)
• D) \(y = \left( C _ { 1 } + 6 \ln | \cos x | \right) \cos x + \left( C _ { 2 } + 6 x \right) \sin x\)
• E) \(y = \left( C _ { 1 } + 6 \ln | \cos x | \right) \cos x + \left( C _ { 2 } + 6 x ^ { 2 } \right) \sin x\)

---

Definitions:

Stockholders' Equity

The owners' claim after subtracting total liabilities from total assets, representing the net value of a company to its shareholders.

Net Income

The residual financial gain of a company after deducting every cost, tax, and expense from the total earnings.

Note Payable

A written agreement where one party promises to pay another party a certain amount of money at a future date or on demand.

Accounting Equation

The foundational principle of accounting that maintains that assets equal the sum of liabilities and owner's equity.