Part II First-Order Methods
Solving differential equations can be complex because there is no one-size-fits-all technique for solving them. The method used depends on the characteristics of the specific equation, such as its order and linearity. For instance, one of the first techniques that we will explore can only be applied to linear, first-order equations. Therefore, it’s important to first ensure that the equation meets the requirements of the chosen technique before attempting to solve it.
Solving these equations often involves using concepts from various mathematical disciplines, including calculus, algebra, and trigonometry. To simplify the process, we break down each technique into smaller, manageable parts and then assemble them step by step to obtain the complete solution.
When appropriate, we will go over the details of the integration and algebra steps, but it is assumed that you are already familiar with these topics. If not, we encourage you to seek out resources to brush up on these skills.
