We present a solution method for a general Riccati differential equation by imposing relationships between

the coefficients of the Riccati differential equation and explaining them through proofs and examples, we can find the

general solution to the various forms of Riccati's equation by integration directly after transforming it into a separable

differential equation.

Abstract

As technological advancements continue to revolutionize teaching, the use of technology in both college/university and classrooms is making flipped

learning a trending instructional model. The roles and responsibilities of instructors and students often require a new or enhanced skill set where the instructor designs intentional learning experiences to engage students outside of the classroom. This research was conducted to investigate the effectiveness of flipped learning strategy to overcome the educational communication problems. Also, it has been explained the definition of the flipped classroom and its impact on course evaluations and student outcomes. Besides, it has been discussed the comparison between the flipped learning strategy and the traditional way of teaching. As well, it has been explained some advantages and disadvantages of the flipped classroom. Above and beyond, it has been mentioned the most important critiques against the flipped leaning. More to the point, it has been shown some steps to implement the flipped classroom strategy. As well as, it has been presented some reasons of why should be flipped our classrooms. Ultimately, some important recommendations have been given to guarantee an effective learning in the education process.

Key words:  flipped classrooms, flipped learning, higher education, technological advancement, effective flipping ,

A design of a geothermal heat pump heating, ventilating, and air conditioning system has been done for XYZ Indianapolis School by using renewable energy. Geothermal energy is one of the important energies that has proved itself in air conditioning systems all over the world. The design was classified in three points as follows. Using borehole heat exchanger (BHEs) vertical type, heat pump and all its equipment such as mechanical room, pipes, and fitting design to cover the total load of the school the results were 20 boreholes and a total flow rate of 60 gpm (3 gpm/bore) of 20 % propylene solution, and spacing 20 ft with 1.1 Hp and 6.5 in impeller size. For individual borehole design, the results were 15 boreholes and a total power consumption 1.1 kW. For the ventilation design, the peak load for heating is 42779 Btu/hr, and for cooling, it is 47779 Btu/hr. There are 4 boreholes, a 0.5 hp electric pump with a flow rate of 10 gpm a 40ft of H2O pressure drop, and a 10 hp fan integrated with a water-to-water heat pump. The total load we assumed for the heating supply in class 6 and the corridor are 10% and 25 %, respectively. The thermal resistance was calculated for each case according to the fluid flow rate. The ventilation load of the school is designed separately from the heating and cooling loads and connected to a water-water heat pump that will make the system work with high efficiency. Finally, we designed this project using Geothermal Energy, which is cleaner than conventional energy.

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A new record for Leptadenia arborea (Forssk.) Schweinf. is reported for the first time in the flora of Libya. This species was collected from Ariggiba region (110 km southwest Sabha city). A full description and habitat information on the plant are provided. A brief discussion about the most important traits of this species is presented.

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