Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation.

What are some real life examples of differential equations?

Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation.

How much salt is in the tank after 30 minutes?

1.448 kg
After 30 minutes, there will be 1.448 kg of salt in the tank.

What are ODEs used for?

I would give the answer: ODEs are used in many models to determine how the state of this model is changing (regarding time or another variable). Thus, ODEs are important for many scientific fields because they arise whenever a relation is given for the change of a model/system.

Why do we need to study differential equation?

Differential equations are very important in the mathematical modeling of physical systems. Many fundamental laws of physics and chemistry can be formulated as differential equations. In biology and economics, differential equations are used to model the behavior of complex systems.

What are differential equation models?

Differential equation models are used in many fields of applied physical science to describe the dynamic aspects of systems. The typical dynamic variable is time, and if it is the only dynamic variable, the analysis will be based on an ordinary differential equation (ODE) model.

What is mixing problem?

Mixing problems are an application of separable differential equations. They’re word problems that require us to create a separable differential equation based on the concentration of a substance in a tank. Usually we’ll have a substance like salt that’s being added to a tank of water at a specific rate.

How do you solve a mixing problem?

Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

How important is differential equations?