The table shows the national expenditures for health​ care, in​ billions, in a country for selected years from 1995 with projections to 2020.   Complete parts​ (a) through​ (c) below.   Year Expenditures​ ($ billions) 1995 1018 2000 1358 2005 1972 2010 2939 2015 3404 2020 4467 a. Find a linear function that models the​ data, with x equal to the number of years after 1990 and y equal to the expenditures for health care in billions of dollars.     ​(Use integers or decimals for any numbers in the equation. Round to three decimal places as​ needed.) b. What does this model predict the expenditure will be in 2019     ​(Round to three decimal places as​ needed.) c. In what year does the model predict that the expenditures for health care will be ​$5517.9 The year 2028

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.