Differential equations are essential in the field of image reconstruction in medical imaging. What method uses these equations to generate images from data?

Differential equations play a crucial role in understanding population dynamics and the spread of diseases in epidemiology. Which type of differential equation is commonly used for this purpose?

In Newton's second law, F = ma, if the mass (m) is 5 kg and the acceleration (a) is 3 m/s², what is the force (F)?

In computer science, differential equations are employed in various applications. What is one common application in computer science?

What field uses differential equations to analyze the behavior of financial markets and risk assessment?

Differential equations are commonly used to model the motion of objects under the influence of forces. Which differential equation describes this motion?

The spread of a disease in a population is modeled by the SIR model, a system of differential equations. If the number of susceptible individuals (S) is 1000, the number of infected individuals (I) is 10, and the number of recovered individuals (R) is 0 at the initial time, what is the number of infected individuals after 14 days (t = 14)? 

In geophysics, differential equations are used to model various phenomena, including heat transfer. Which equation describes the conduction of heat in the Earth's interior?

In structural engineering, differential equations are employed to study what aspect of structures?

In a population growth model, the differential equation dP/dt = 0.05P represents a population with an initial size of 200. What is the population size after 10 years (t = 10)?