Solve the Differential Equation $$x \frac { d y } { d x } = y + \left( x ^ { 2 } - 3 \right) ^ { 2 }$$

question 69

Multiple Choice

Solve the differential equation.
- $$x \frac { d y } { d x } = y + \left( x ^ { 2 } - 3 \right) ^ { 2 }$$

• A) \(y = \frac { 1 } { 3 } x ^ { 3 } - 6 x - \frac { 9 } { x } + C\)
• B) \(y = \frac { 1 } { 3 } x ^ { 4 } - 18 x \ln x + C x\)
• C) \(y = \frac { 1 } { 3 } x ^ { 4 } - 6 x ^ { 2 } - 9 + C x\)
• D) \(y = x ^ { 4 } - x ^ { 2 } - 9 + C x\)

Recognize the key concepts part of the Theory of Goal Attainment.

Understand the definition of a concept according to King.

Define what constitutes a transaction in nursing according to King.

Recognize the significance of agreement on goals between nurse and patient on goal attainment.

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Definitions:

Level Of Significance

The threshold for rejecting the null hypothesis in a statistical test, often denoted by alpha and representing the risk of a Type I error.

One-Tail

It refers to tests of significance that determine if there is a relationship or a difference in only one direction, either greater than or less than, but not both.

Test Statistic

A calculated value used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Level Of Significance

The probability of rejecting the null hypothesis in a statistical test when it is actually true; a threshold for determining the statistical significance of a result.