ABSTRACT

Sometimes it is represented in terms of differentials as = ( , ) . A solution of a differential equation is a function ( ) that, when substituted into the equation,

turns it into an identity. The general solution of a differential equation is the set of all its solutions. In some cases, the general solution can be represented as a function = ( , ) that depends on one arbitrary constant ; specific values of define specific solutions of the equation (particular solutions). In practice, the general solution more frequently appears in implicit form, ( , , ) = 0, or parametric form, = ( , ), = ( , ).