Solve the Differential Equation Using the Method of Variation of Parameters

question 146

Short Answer

Solve the differential equation using the method of variation of parameters.
$$y ^ {tt} + 10 y ^ { t} + 25 y = \frac { e ^ { - 5 x } } { x ^ { 3 } }$$

---

Definitions:

Median

A measure of central tendency that identifies the middle value in a dataset when the numbers are arranged in ascending or descending order.

Central Tendency

A measure that represents the center point or typical value of a dataset.

Average

A statistical measure that determines the central tendency of a set of numbers by dividing the sum of all numbers by the count of the numbers.

Outliers

Those scores in a distribution that are noticeably much more extreme than the majority of scores. Whether a score is an outlier or not is usually an arbitrary decision made by the researcher.