Basic concepts

Concepts

• Differential equation 10 exercisesA differential equation is an equation F=0 whose unknown is a function y and which relates it to one or more of its derivatives.
• Order and linearity 10 exercisesThe order of a differential equation is that of its highest derivative; the equation is linear if the unknown and its derivatives…
• Solution of a differential equation 10 exercisesA solution φ of a differential equation F=0 is a function that, substituted together with its derivatives, makes the equation a t…
• Initial value problem 10 exercisesAn initial value problem asks for the solution of a differential equation that, in addition, takes given values at a given point.
• Existence and uniqueness theorem 10 exercisesThe existence and uniqueness theorem guarantees that an initial value problem has a unique solution near the initial point, if th…
• Direction field 10 exercisesA direction field draws, at many points of the plane, a small segment with the slope that the differential equation assigns to th…