Judul: Metode Transformasi Diferensial untuk Sistem Persamaan Diferensial Linear
Abstrak: Salah satu metode pendekatan analitik yang cukup sederhana dan efektif untuk menyelesaikan sistem persamaan diferensial linear adalah metode transformasi diferensial. Metode transformasi diferensial merupakan metode iteratif untuk memperoleh penyelesaian analitik berupa polinom dengan ide dasar deret Taylor. Hasil penelitian menunjukkan pendekatan penyelesaian analitik menggunakan metode transformasi diferensial cukup akurat untuk sistem persamaan diferensial yang mengandung bentuk trigonometri dan eksponensial dengan jangka waktu pengamatan yang relatif pendek. Selanjutnya, tingkat keakuratannya semakin baik jika derajat polinom pada penyelesaian analitik tersebut semakin besar. Hasil tersebut diperoleh dari perbandingan penyelesaian analitik metode transformasi diferensial dengan penyelesaian analitik metode transformasi Laplace
Keyword: differential transform method, Laplace transform method, system of linear differential equations

Judul: Metode Transformasi Diferensial Untuk Model Lotka-Volterra
Abstrak: Dalam kehidupan nyata, banyak fenomena yang dapat dipelajari menggunakan model matematika yang biasanya dibentuk dari suatu sistem persamaan diferensial. Pencarian penyelesaian sistem persamaan diferensial sebuah model menjadi penting. Namun tidak semua sistem persamaan diferensial dapat diperoleh penyelesaian analitiknya. Oleh karena itu diperlukan metode iteratif atau pendekatan untuk mencari penyelesaian sistem persamaan diferensial tersebut. Salah satu metode iteratif yang dapat digunakan adalah metode transformasi diferensial. Metode yang dibentuk dengan ide dasar deret Taylor ini menghasilkan pendekatan penyelesaian analitik dalam bentuk polinom. Pada penelitian ini, metode transformasi diferensial digunakan untuk mendapatkan pendekatan penyelesaian analitik dari model Lotka-Volterra. Hasil penelitian menunjukkan pendekatan penyelesaian analitik menggunakan metode transformasi diferensial cukup akurat untuk model Lotka-Volterra dalam horizon waktu yang kecil.
Keyword: model mangsa pemangsa, Lotka-Volterra, metode transformasi diferensial

Judul: Ecological, Genetic, and Conservation Studies of Tanimbar Corella (Cacatua goffiniana) in Tanimbar Islands, Maluku
Abstrak: Indonesia is a country with high biodiversity rate, whether at the ecosystem, species, and genetic levels. One of them is the diversity of bird species of around 1883 species. Birds are very popular as pets, more than 2600 species of wild birds are traded internationally, dominated by Passeriformes and Psittaciformes. Indonesia has two families of Psittaciformes, namely Cacatuidae (seven species) and Psittaculidae (81 species), including the Tanimbar Cockatoo (Cacatua goffiniana) which is an endemic bird in the Tanimbar Islands of Maluku. Conservation activities carried out by the government for C. goffiniana still a series of challenges such as habitat loss, population decline, illegal trade, and law enforcement. Various studies are still needed to obtain comprehensive scientific data related to the species and its ecology. This study of Cacatua goffiniana aims to (a) obtain ecological data consisting of habitat, distribution, diet, breeding, and its interactions with other bird communities, (b) generate data on genetic characteristics consisting of mitochondrial genome structure, genetic diversity, and population mapping of C. goffiniana to trace the origin of confiscated birds and estimate their range, and (c) gather data on conservation implementation, potential legal utilization and threats to its sustainability. This study is expected will be of use as a scientific basis in the conservation strategies and policies so that they can be implemented appropriately to preserve C. goffiniana in Tanimbar Islands, Maluku. Direct observations and interviews to obtain ecological data consisting of distribution, habitat, diet, nest trees, bird species diversity and associations with other bird communities. The distribution of C. goffiniana was recorded in Yamdena, Selaru, Larat, Sera, and Molu (Tanimbar Islands, Maluku). Land cover classification analysis using the supervised classification method with Erdas Imagine 2014 on Landsat 8 OLI image data at path/row 106/065 and path/row 106/066. Land cover classification analysis resulting in six categories: forest, dry land and open land agriculture, mixed plantations, mangrove, built-up land, and wetland. The forest classification represents the largest percentage of land cover in Tanimbar Islands, especially on Yamdena, Waliaru, Selu, Molu, and Maru Island. Foraging, nesting and roosting activities were carried out in forest, plantation and open land habitats. Observations in forest and openland habitats identified 27 food species consumed by C. goffiniana in Tanimbar Islands. A total of six main food species in the forest are Canarium indicum, Ficus variegata, Manilkara fasciculata, Osmoxylon insidiator, Maranthes corymbosa, and Shorea polysperma. The breeding period of C. goffiniana occurs between August-December, with 20 nest trees recorded consisting of seven species, namely Canarium indicum, Pometia pinnata, Alstonia scholaris, Maranther corymbosa, Instia bijuga, Sterculita foetida, and Manilkara fasciculata. Observations made on Yamdena, Selaru, Vaimar, and Larat Island recorded 92 species of birds. The diversity of birds in various habitat types allowed for interaction between communities, particularly competing or sharing for food, nesting, and roosting sites. The genetic study of C. goffiniana analyzed the structure and composition of the mitochondrial genome (mitogenome), as well as genetic diversity using samples from Yamdena Island, Larat Island, Selaru Island, and confiscated BBKSDA East Java. Mitogenome analysis obtained a total nucleotide length of 19.083 bp, the structure consists of
Keyword: confiscated,  conservation, genetic diversity, habitat, Tanimbar Corella