The sudden advent of the COVID-19 pandemic and the associated containment measures require educational institutions of all sizes to adopt eLearning as the only option for sustainable education. Despite the numerous Learning Management Systems, the rapid migration to eLearning posed numerous challenges that negatively affect the effectiveness and sustainability of the educational activities. The current study systematically reviewed recent articles that recognized the value and feasibility of using Social Networking Sites (SNSs) in education. The study highlighted the current eLearning challenges and illustrated effective strategies for the sustainable educational use of SNSs by both institutions, teachers, and students. Thus, solutions to the problems experienced in education during the COVID-19 period were highlighted based on SNS-supported strategies.

Equation of motion of a free particle in a space of constant curvature applies to many fields, such as the fixed reduction of the second member of the Burgers classes, the study of fusion of pellets, equations of Yang-Baxter, the concept of univalent functions as well as spheres of gaseous stability to mention but a few. In this study, the authors want to examine the linearization of the said equation using both point and non-point transformation methods. As captured in the title, the methods under examination here are the differential forms (DF) and the generalized Sundman transformations (GST), which are point and non-point transformation methods respectively. The comparative analysis of the solutions obtained via the two linearizability methods is also taken into account.

This research was carried out to study the effect of organic fertilizer produced at different proportions by mass using same substrate made up of Neem seeds, rice husk, blood meal, bone meal, calcium carbonate in five different formulations on the growth and development of maize crop (zea mays). The constituents were prepared by mixing and blending using mixer and hammer mill respectively. Physicochemical analysis was carried out to determine the nutritive value of the formulated organic fertilizer for the presence of Nitrogen, Phosphorus and Potassium (N. P. K). The fertilizer was subjected to a pot experiment, using a complete randomized design method, in which each soil was treated with the prepared organic fertilizer formulation at high and low amount of application and planted for a period of 12 weeks. The result of physicochemical analysis of the various proportion of organic fertilizer indicated that formulation type 5 presented the highest percentage of nitrogen content (i.e. 14840 mg/kg). This was due to the increase in proportion of Poultry litters in the formulation type 5. Moreover, the formulation type 3 recorded the lowest percentage of nitrogen (i.e. 4060mg/kg). There was no significant difference (P< 0.05) in the vegetative growth of maize for various treatments. However, formulation type 5 at high amount of application gave higher values of plant height, stem girth, leaf area and number of leaves than other formulations. This implies that organic fertilizer could be potentially promising option to chemical fertilizer as a soil conditioner and a good source for plant nutrients.

Lie was the first to consider linearization of differential equations many years ago. Since then, a great deal of research has been done on linearization of differential equations using various methodologies. Surprisingly, there has not been much progress in linearizing geodesic differential equations. In particular, the use of differential forms to linearize a class of geodesic equations is not documented in the literature. Differential forms are used to linearize a class of geodesic differential equations in this research. Geodesics on a plane, geodesics on a cone, and geodesics on a sphere are examples. The solutions to these equations were discovered during the linearization process, as the findings of this study are distinctive, innovative, and original.

- The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay differential equation and then to a scalar delay differential equation and using the property of the scalar delay differential equation to obtain our result. Similarly we establish conditions for the oscillation of all solutions of the foodlimited equation with several delays by transforming the equation to a scalar differential equation to obtain the oscillatory property.

This study obtains a new set of integral conditions for oscillation of nonautonomous delay differential equations with positive and negative coefficients. It is however, discovered that every solution of the equation oscillates infinitely.

The linearization approach is used in this contribution to acquire the answers to the variable frequency oscillator equation as well as the modified Ivey's equation. Differential forms (DF) and the generalized Sundman transformation (GST) are two linearization techniques that are considered. It is found that the modified Ivey's equation cannot be linearized using differential forms, while the equation for a variable frequency oscillator can. However, using GST, the modified Ivey's equation can be linearized.

This paper focuses on the development of continuous and discrete algorithms for the numerical solution of ordinary differential equations. A continuous hybrid two-step method is developed for second order initial value problems with Chebyshev polynomial as basis function through collocation and interpolation techniques. By selection of equally-spaced points for both interpolation and collocation, new efficient, self-starting and zero-stable finite difference method coupled as block method is produced which is generally more accurate when compared with existing methods. The method is analyzed, its order and error constants are determined with investigations made on consistency and stability. Mathematics Subject Clarification: 65L05