MHB Can Algebra Alone Rearrange This Differential Equation?

  • Thread starter Thread starter whiskybrah
  • Start date Start date
whiskybrah
Messages
1
Reaction score
0
I'm completely new to differential equations. I'm just doing random problems online about them. One simple problem asks to re-arrange the following so that the x's and y's are all on one side:

$$x^2 + dy/dx + xy = 1$$

Can I just use algebra to do it? Like:

$$ dy/dx = x^2/xy $$
 
Physics news on Phys.org
whiskybrah said:
I'm completely new to differential equations. I'm just doing random problems online about them. One simple problem asks to re-arrange the following so that the x's and y's are all on one side:

$$x^2 + dy/dx + xy = 1$$

Can I just use algebra to do it? Like:

$$ dy/dx = x^2/xy $$

Welcome to MHB!

Yes but maybe revisit algebra first. There are several mistakes here and it isn't clear what you've done. Mind expanding? :)
 

Thread 'Volterra equation of the second kind'

There is the following linear Volterra equation of the second kind $$ y(x)+\int_{0}^{x} K(x-s) y(s)\,{\rm d}s = 1 $$ with kernel $$ K(x-s) = 1 - 4 \sum_{n=1}^{\infty} \dfrac{1}{\lambda_n^2} e^{-\beta \lambda_n^2 (x-s)} $$ where $y(0)=1$, $\beta>0$ and $\lambda_n$ is the $n$-th positive root of the equation $J_0(x)=0$ (here $n$ is a natural number that numbers these positive roots in the order of increasing their values), $J_0(x)$ is the Bessel function of the first kind of zero order. I...
View full post »

Thread 'Visual Representation of Separation of Varables'

Are there any good visualization tutorials, written or video, that show graphically how separation of variables works? I particularly have the time-independent Schrodinger Equation in mind. There are hundreds of demonstrations out there which essentially distill to copies of one another. However I am trying to visualize in my mind how this process looks graphically - for example plotting t on one axis and x on the other for f(x,t). I have seen other good visual representations of...
View full post »

Similar threads

I Integral-form change of variable in differential equation
Replies
1
Views
2K
A Solve the Partial differential equation ##U_{xy}=0##
Replies
3
Views
4K
I Why Lagrange’s method of solving Pp + Qq=R works?
Replies
3
Views
692
I Expressing a differential equation into a different format
Replies
1
Views
2K
I Solving Differential Equation Using Reduction of Order
Replies
2
Views
3K
I Direction Fields and Isoclines
Replies
1
Views
301
Finding the rate of change of x in the equation
Replies
8
Views
1K
MHB How to Solve Differential Equation with Separate Variables?
Replies
10
Views
2K
I I with differential equation(3x^2-2y^2)(dy/dx)=2xy
Replies
9
Views
9K
MHB Solving a Separable Variable Differential Equation Using U-Substitution
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top