Solve the Differential Equation $36 y ^ { tt } + y = 0$

question 3

Multiple Choice

Solve the differential equation.
$36 y ^ { tt } + y = 0$

• A) \(y ( x ) = c _ { 1 } \cos ( - 6 x ) + c _ { 2 } \sin ( - 6 x )\)
• B)\(y ( x ) = c _ { 1 } \cos \left( - \frac { x } { 36 } \right) + c _ { 2 } \sin \left( - \frac { x } { 6 } \right)\)
• C)\(y ( x ) = c _ { 1 } \cos \left( \frac { x } { 6 } \right) + c _ { 2 } \sin \left( \frac { x } { 6 } \right)\)
• D) \(y ( x ) = c _ { 1 } \cos ( 6 x ) + c _ { 2 } \sin ( 6 x )\)
• E) \(y ( x ) = c _ { 1 } \cos ( 36 x ) - c _ { 2 } \sin ( 36 x )\)

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Definitions:

Planning Purposes

Refers to the reason or objective behind creating a plan, often to achieve a specific goal or to meet certain requirements.

Customers

Individuals or entities that purchase goods or services from a business or organization.

Multicollinearity

A situation in statistical models where several predictor variables are highly correlated, which can undermine the statistical significance of an independent variable.

Predictor Variables

Independent variables in statistical models that are used to predict the value of a dependent variable.