# Are Differential Equations Hard? (Definitive Answer)

Are Differential Equations hard or not is a matter of great concern among students; let’s just say it isn’t exactly a piece of cake.

A differential equation simply defines the relationship between the derivatives of the function or dependent variable related to an independent variable. It also describes how numerical analysis is used, how heat moves, how compound interest’s formula is derived, how spring vibrates, etc.

Primarily, the purpose of it is to study the solutions that satisfy the equations and properties of that solution. It is mainly common in the fields like physics, engineering, and even biology, etc.

However, these equations are extremely crucial for your real-life and academic purposes. Basically, it describes the relationship between two variables; it can be two functions, or it can be two quantities as well.

This raises a question: are differential equations hard or easy? For that, you would need to read this article till the end.

## Are Differential Equations Hard?

Yes, differential equations are considered quite hard by most students due to various reasons. One is that you need to memorize and get well aware of all the pre-requisite concepts, i.e., differentiation, algebraic manipulation, and integration. These are in themselves quite hard concepts to grasp.

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Secondly, it can be hard because there is no integrated process to resolve the problem. You would need to utilize your strong understanding of all the methods and applications. You need to conclude which method is perfectly applicable to solve the specific problem at hand.

If you’ve memorized all the formulas and methods & possess some visual problem-solving skills with some abstract thinking, then this course can be easy for you.

All in all, to the question, is differential equation hard? We would state that this is one of the hardest courses you’ll come across, but if you get to know the tips and polish yourself in the required skills, then it can be quite less difficult.

## Differential Equations Applications & Career Scope

As told before, it is not solely used for academic purposes but for practical life as well. Having said that, this proves that overall the scope of this field is wide. A surprising fact about it is that it has the potential to predict the world around us.

These equations can describe decomposition and exponential growth. Also, it helps in labeling the growth of the species as a whole and the return on the change of investment over the period. Apart from these, talking about the fields these equations are applied in various fields such; as biology, physics, chemistry, economics, and engineering.

Considering everything written above we must directly believe that there are some obvious career options for such a course. You might end up in an engineering department, biotechnological field, economics-related job, etc. Having a stable career studying such a mathematical field is guaranteed, provided you choose the right career path.

## Education/Major Requirements

There are only two pre-requisite courses to get done with whether you are on undergraduate, graduate, or post-graduate level. You just simply need to get done with linear algebra and calculus before. Both of these courses are basic and mandatory in high schools.

Know that there is no chance of doing this course without having a strong understanding of integrations. You need to know the concepts of integration well or else you may deliberately fail this course.

Below we have answered some obvious and common questions that might still be bothering you.

**How hard is a differential equation really?**

It is quite hard but memorizing the concepts of this course would make it less burdening for most students. Apart from that, a point that needs to be highlighted is that it majorly depends on your college and your professor. Some professors teach such subjects in a manner that appears like everyone’s cup of tea. While some make it look quite the opposite.

As for the colleges, some high-grade colleges that have high grading scale makes this course tough to push their students to a high level.

**Are ordinary differential equations hard?**

Speaking in general, they are a bit hard, because they’re both hypothetical and applied. It would be a plus point if you are well aware of different equations and formulas. Because you are an examiner will give the most complicated scenario out there yet ask you to apply all your knowledge in real life. Despite all these factors, there are high chances of scoring well in this subject.

**What level of math is a differential equation?**

It’s considered to be an intermediate level of mathematics. It is more advanced than basic courses like linear algebra, trigonometry, calculus I, or calculus II. But there are more complex and advanced courses than it in the history of math. Higher-level courses like AP Calculus BC, abstract algebra, topology, and complex analysis.

**Which is harder differential equation or calculus II?**

Differential equations are harder than calculus II. However, it is vital to understand Calculus II with a deep understanding because all of the equations and functions are applied to it. It can be an easily doable course if only your concepts from Calculus II are crystal clear.

**Is differential equation harder than linear algebra?**

Both of the courses are equally hard. Most of the time both of them are offered at the same college level. Also, they are often taught in the second year of STEM majors with the almost same mandatory pre-requisite courses. Most of the professors and colleges rank them likewise in terms of difficulty.

**Why is differentiation so hard?**

Differentiation might be hard but there’s no rocket science in it. Students usually find it hard because there are various formulas to solve the problem but each method has its own different way. For instance, some would require knowledge of calculus while other involves algebraic manipulation and other might require numerical integration.

**How to prepare for differential equations?**

Firstly, be aware of mathematical notation and symbols. Watching some online lectures would help in getting a clear picture of this course. Integration by parts, partial fractions, and power series might look harsh, but that’s completely doable and will prove to be helpful too.

Since this course is stuffed with algorithms, formulas, and logic, it is highly advisable to take clear notes to avoid difficulty in the future.

**What is a differential equation college level?**

It depends on which region you are from. Or which course outline does your institution follow? For instance, most of the time this course is offered at the Sophomore level after one year of opting for Calculus. But in the US it is introduced in the first year of calculus.

**Are differential equations harder than calculus IV?**

No, it isn’t harder than Calculus IV. Calculus IV comes at a higher level of mathematics, while this comes at the intermediate level. Calculus IV is built in MAT-232; Calculus II and MAT-331: Calculus III. So, this directly proves that it is a much more advanced and hard subject.

So is differential equation hard? Well, concluding it in the most simplified manner. Every hard subject needs to be understood rather than taking it as a burden. If you learn to use all the tips and utilize all the knowledge in the right way then even the hardest course is easily manageable.

It is solely an intermediate level of math that you can ace easily only if all your prior concepts have clarity. Try to learn to work smart than work hard.