Prophet (SAW)'s Prayers
When in any difficult
Recite:
اللَّهُمَّ رَحْمَتَكَ أَرْجُو فَلَا تَكِلْنِي إِلَى نَفْسِي طَرْفَةَ عَيْنٍ وَأَصْلِحْ شَأْنِي كُلَّهُ لَا إِلَهَ إِلَّا أَنْتَ
"O Allah, I hope for Your mercy, do not leave me for even the duration of an eye blink (duration) and correct my total condition. Besides You there is none worthy of worship".
(Hisnul Hasin)
Alternate dua
حَسْبُنَا اللَّهُ وَنِعْمَ الْوَكِيلُ
"Allah is sufficient for us and He is the Best Guardian".
(Quran, Surah Al-Imraan)
Alternatively recite
اللَّهُ اللَّهُ رَبِّي لَا أُشْرِكُ بِهِ شَيْئَاً
"Allah is my Lord, I do not ascribe anything unto Him".
(Hisnul Hasin from Abu Dawood)
or recite
يَا حَيُّ يَا قَيُّومُ بِرَحْمَتِكَ أَسْتَغِيثُ
"O Alive and everlasting One, I beseech You by Your mercy".
(Mustadrak Hakim)
لَا إِلَهَ إِلَّا أَنْتَ سُبْحَانَكَ إِنِّي كُنْتُ مِنَ الظَّالِمِينَ
"O Allah, there is none worthy of worship besides You. You are Pure, definitely I have oppressed my soul by sinning".
The Qur'an states that these words were recited when Yunus (A.S.) called upon Allah from the belly of the fish. Prophet Mohammad (S.A.W.) stated in a hadith that when any Muslim makes this dua via these words to Allah, then Allah surely accepts his duas.
(Tirmidhi etc)
It is stated in a hadith that
لَا حَوْلَ وَلَا قُوَّةَ إِلَّا بِاللَّهِ
is the medicine for 99 ailments, the least of which is depression.
(Baihaqi in Dawatul Kubra)
It means that these words are so beneficial and useful that big/great grievances, depression and sorrow are easily removed in its stride.
Abdullah bin Abbas (R.A.) narrates that Prophet Mohammad (S.A.W.) stated that if a person constantly makes "Astaghfar", then Allah removes every difficulty, frees him from every sorrow and makes a means for him to receive sustencance from places that he never thought of.
(Mishkat from Ahmad)