Where is Euler's method used in real life?

Have you ever wondered about the practical applications of Euler's method, a fundamental numerical technique used in solving differential equations? From engineering to finance, Euler's method finds itself at the heart of numerous real-world problems. In finance, for instance, Euler's method can be employed to estimate the value of complex derivatives and financial instruments, such as options and futures. By approximating the behavior of the underlying asset over small time intervals, financial analysts can gain insights into the potential risks and rewards associated with these instruments. In engineering, Euler's method can be used to simulate the behavior of physical systems, such as fluid dynamics and mechanical structures. By discretizing continuous systems into a series of manageable steps, engineers can analyze and optimize the performance of these systems under various conditions. But that's just the tip of the iceberg. Euler's method has also found applications in fields as diverse as biology, chemistry, and economics. So, where exactly is Euler's method used in real life? The answer is: wherever numerical solutions to differential equations are needed to understand and optimize complex systems.