Closed-form solutions of generalized linear first-order differential equations by Picard’s method

Soluções em forma fechada de equações diferenciais lineares de primeira ordem generalizadas pelo método de Picard

For homogeneous linear first-order differential equations, it is shown that Picard’s method of successive approximations is effective to furnish a closed-form solution even if the coefficient is an arbitrary function.

Keywords:
Picard’s method; successive approximations; first-order differential equation