determine an approximate value of the solution at t = 0.4 and t = 0.5 using the specified method. For starting values, use the values given by the Runge-Kutta method; see Problems 2 through 6 of Section 8.3. Compare the results of the various methods with each other and with the actual solution (if available). a.Use the fourth-order predictor–corrector method with h = 0.1. Use the corrector formula once at each step. b.Use the fourth-order Adams-Moulton method with h = 0.1. c.Use the fourth-order backward differentiation method with h = 0.1. 2.y′=5t−3√y,y(0)=2y′=5t−3y,y0=2
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
determine an approximate value of the solution at t = 0.4 and t = 0.5 using the specified method. For starting values, use the values given by the Runge-Kutta method; see Problems 2 through 6 of Section 8.3. Compare the results of the various methods with each other and with the actual solution (if available).
a.Use the fourth-order predictor–corrector method with h = 0.1. Use the corrector formula once at each step.
b.Use the fourth-order Adams-Moulton method with h = 0.1.
c.Use the fourth-order backward differentiation method with h = 0.1.
2.y′=5t−3√y,y(0)=2y′=5t−3y,y0=2
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