Final answer:
Option b is correct option. Online differential equation solvers typically offer solutions with steps, providing a detailed breakdown of the solution process, and may also include graphs to visualize solutions. They assist in understanding different methods required for solving complex equations.
Step-by-step explanation:
An online differential equation solver can provide different features depending on the tool, but most commonly it offers solutions with steps. Such solvers are designed to assist users in understanding the process of solving differential equations rather than just presenting the final answer. With these tools, you can get a step-by-step breakdown of how to approach and solve a differential equation. This methodical approach is beneficial since differential equations can vary greatly in complexity and may require different methods or considerations for solving. The solver could also potentially provide graphs of solutions to visually represent what the solution looks like, which is particularly useful for understanding the behavior of solutions over a given domain.
For certain specific calculators, such as the TI-83, 83+, or 84 models, there are functions available that can also assist in solving differential equations. These calculators often provide numerical solutions and may offer additional features such as a table of values or a graphical representation of the solution curve. The key benefit of using such calculators comes down to their ability to provide a quick approximation of solutions that can support the analytical techniques taught in the curriculum.
Therefore, the correct option in the final answer would be (b) Solutions with steps as online differential equation solvers typically provide not only the solutions but also the methodology behind reaching those solutions, which often include step-by-step instructions, graphs, and possibly other supportive materials.