Differential Equations.

9 lessons65 min2 simulations

A differential equation links an unknown function with its derivatives. Instead of giving y directly, it says how fast y changes, and the task is to recover y from that rule. This chapter defines the order and degree of such equations, separates general solutions (with arbitrary constants) from particular ones, and solves three kinds of first-order, first-degree equations: those whose variables separate, homogeneous equations, and linear equations. Growth of money, cooling of a drink and the shape of a curve with a given slope all fit these forms.

Also called: solving differential equations · variable separable