When solving a second order differential equation, and the characteristic equation has complex roots, are there situations where we would want to keep the solutions as complex rather than transforming them into real solutions?
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
When solving a second order differential equation, and the characteristic equation has complex roots, are there situations where we would want to keep the solutions as complex rather than transforming them into real solutions?
Note: I have asked this question two other times and the solution provided is just an explanation of how to determine the real solutions. That IS NOT my question. I know that the general solution gives real solutions. My question is are there any instances where we would want to keep the complex solutions and not transform them into real solutions? I'm looking for a response such as: we would want to keep the complex solutions in this real-life situation because they would tell us.....
If you don't know the answer, can you send the question to someone that might? Thanks!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
