Task:
Find the eigenvectors and eigenvalues of the following matrix:
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Solve the following second order differential equation:
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Dijkstra’s shortest path algorithm finds the shortest paths between all nodes of the graph. In this article we will describe the operation principle of Dijkstra’s algorithm, which finds optimal routes. The disadvantage of this algorithm is that it will not work correctly if the graph has negative edge weights. In this tutorial you can read Dijkstra’s shortest path algorithm example. The author has solved a particular task and provided a vivid description of the solution. Following each step you will be able to solve a similar solution by yourself with ease.
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Simulation is a mathematical technique for emulating circuit behavior. Simulation helps to define many properties of the circuit without assembling the circuit or using real devices. Nowadays, a lot of software is designed to ease the work of the engineer. Today we want to introduce you to the program of the company National Instruments – NI Multisim. In this article, we’ll look at the simplest examples of modeling electrical circuits using Multisim. This program will be useful both for students that need to solve problems in electrical engineering and electronics, and for teachers for scientific activities. While the interface of the program is quite simple, you will need some time to understand how to use it to the fullest. To help you, we have created Multisim examples that show a quick functionality overview.
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Task:
Solve the following second order linear homogeneous ODE using Matlab:
y” +4 y‘ – 3y = 0,
y(0) = 1, y‘(0) = 0
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