PH1003 Waves & Vibrations - Some of the Proofs in the simplest form

Proof - Solution for the Damped Oscillations Equation
Reference - MIT - OpenCourseWare            

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Hike to Uthuwankanda and Bathalegala: part 1

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After the off-season journey to Sri Pada  this is our next hike, climbing Uthuwankanda and Bathalegala (aka Bible Rock). Our first destination, Uthuwankanda: this is famous for a hide-out used by a local hero named Deekirikevage Saradiel better known as Utuwankande Sura Saradiel who fought bravely against British colonialism. Actually, our destination was Saradiel Rock, located in the Uthuwankanda area. So it was 7 in the morning when we got off the bus at Mawanella with a crew of three, had our breakfast and hired a three wheeler to Uthuwankanda junction (1.5km from Mawanella), turning right at the junction to Uthuwam Mawatha. It is possible to travel in a vehicle along this road to get closer to the destination, but since we needed to see the surroundings, we started our journey on foot from the junction. After about 1 km turned left onto a concrete paved road that was heading toward Saradiel Rock and about 500m ahead, we found the trail head. The trail was through a small
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Hike to Uthuwankanda and Bathalegala: part 2

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Continuing from  Hike to Uthuwankanda and Bathalegala- part 1 We came back to Mawanella town, had our lunch and luckily after getting some directions, we could catch the bus to Bathalegala junction when it was just about to leave. There was only one bus for a few hours on that route, otherwise, you had to get off at Gevilipitiya junction and travel 4 km to Bathalegala junction, which we had to do after returning. From the Bathalegala junction, it was 2.5km to the trail head. It was a small, concrete paved way and starting from the junction, it was one continuous climb. The concrete paved way A glimpse at our destination Bathalegala, also known as Bible Rock, is 798m in height above mean sea level and it's way taller than Uthuwankanda, which is less than 400m in height. It had been rainy and overcast since the time we descended Uthuwankanda, but as we climbed, we
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Off-season Journey to Sri Pada(අවාරයේ දෙදිනක ශ්‍රීපා ගමන)

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Amidst strikes, out of bound universities me and my friends, at home spending not-so-enjoyable free time with fading future hopes :'( We decided to free ourselves by doing what we love most-exploring and hiking. So here it is, our first hike, a two-day off-season journey to Sri Pada aka Adam's Peak. There are 6 routes to reach Sri Pada. Among them, the most popular route and of course, the easiest and probably the one that I hate most, is the Hatton-Nallathanni trail which has now become a 99 percent concrete paved short way. Since we sought some adventure, we chose the Erathna-Kuruwita trail. More than 80 percent of the journey through this trail is through dense, undisturbed forest and if you want to stay close to nature while you travel, this is one of the best. It was almost 6 in the morning when we got off the bus (route no. 99 Badulla-Colombo) at Kuruwita with a crew of f
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