Consider the differential equation dy dx with a particular solution y = f(x) having an initial condition 3-x y(2) = - -1. Use the equation of the line tangent to the graph of f at the point (2, –1) in order to approximate the value of f(1.8).

Q: Solve the differential equation with the given initial condition.

A: Given,

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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.