Exercises — Differential equations

All the worked exercises of the chapter: separable equations, first- and second-order linear equations, and physical modelling problems (fall with air resistance, cooling, atmospheric pressure).

• y’ = 3y with y(0)=2
• y’ = −2xy (the Gaussian)
• y’ − y = eˣ
• y” + 9y = 0 with initial conditions
• Fall with air resistance
• Cooling of a cup of tea
• Altitude and atmospheric pressure