The National Symphony Orchestra departs from Dulles Airport Monday morning on its second tour of the Far East under Mstislav Rostropovich.

There will be 14 concerts in Japan, the Philippines, Hong Kong, Taiwan and Korea. The first concert, on April 8, will open the Osaka Festival, now in its 25th year. On their previous Asian tour, three years ago, Rostropovich and the orchestra also played at the festival.

The trip will last for almost three weeks, and will take the National Symphony for the first time to the Philippines, Taiwan and Hong Kong. There are to be three concerts in Hong Kong, two in Taipei and two in Manila. In one of the Manila concerts the soloist will be Cecile Licad, the young Philippine pianist who made her debut with the National Symphony last season and will play a recital at the Kennedy Center next Friday.

The Taiwan appearances mark the first visit there by an American orchestra since 1966, according to National Symphony officials.

Among the principal works on Rostropovich's programs are Tchaikovsky's Fifth Symphony, Beethoven's "Eroica" Symphony, the Shostakovich Eighth Symphony, Tchaikovsky's "Manfred" and the Mussorgsky/Ravel "Pictures at an Exhibition."

The orchestra returns home April 26.