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Solve the Differential Equation y=x3esinxycosxy ^ { \prime } = x ^ { 3 } e ^ { - \sin x } - y \cos x

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Solve the differential equation.
y=x3esinxycosxy ^ { \prime } = x ^ { 3 } e ^ { - \sin x } - y \cos x

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Definitions:

Explained Variation

The portion of the total variation in a dataset that is accounted for by the model's predictions.

Random Error Term

Represents unexplained variability within a statistical model, capturing the random variance that is not accounted for by the explanatory variables.

Predictor Variables

Factors in statistical analyses that predict or account for variations in the dependent variable.

Coefficient of Multiple Determination

A statistic used in multiple regression analysis that measures the proportion of variance in the dependent variable that can be predicted from the independent variables.

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