Can you study differential equations without finishing integral calcul

[thedailyshoe]

I mean is it possible? would it be a problem?

 

[Matterwave]

Yes. The most basic differential equations are the ones which you can just integrate to get the answer. If you didn't finish integral calculus, it will be very hard for you to understand those calculations.

As integration is the inverse of differentiation, there's really no way to rigorously study differential equations without understanding integrals.

 

[thedailyshoe]

Yes. The most basic differential equations are the ones which you can just integrate to get the answer. If you didn't finish integral calculus, it will be very hard for you to understand those calculations.

As integration is the inverse of differentiation, there's really no way to rigorously study differential equations without understanding integrals.

hey but i already finished differential calculus last sem and my grades were beautiful.. can't it help with differential equations? i mean both are "differential" so arent they similar?

 

[Matterwave]

hey but i already finished differential calculus last sem and my grades were beautiful.. can't it help with differential equations? i mean both are "differential" so arent they similar?

Sure it "helps", but it's not sufficient. Literally the easiest differential equation is this one, which involves an integral:

$$\frac{df}{dx}=f$$

You solve this by basically splitting up the differential and integrating (slight abuse of notation):

$$\int \frac{df}{f} = \int dx$$

Giving you:

$$\ln(f)=x+C$$
$$f(x)=Ae^x$$

Solving differential equations very often involves integrating because integrating is the "inverse" so-to-speak of differentiation.

 

[blue_raver22]

Yes, it is possible to study differential equations without finishing integral calculus. Differential equations involve the study of rates of change and how they affect the behavior of a system. While knowledge of integral calculus can be helpful in solving certain types of differential equations, it is not a prerequisite for understanding the basic concepts and principles of differential equations.

However, not having a strong understanding of integral calculus may limit one's ability to solve more complex differential equations or fully grasp the underlying mathematical concepts. It may also make it more challenging to apply differential equations to real-world problems.

In conclusion, while it is possible to study differential equations without finishing integral calculus, it may be beneficial to have a solid foundation in both subjects in order to fully understand and apply the principles of differential equations.