What does the differential equation answer mean?

NODARman
Messages
57
Reaction score
13
Homework Statement
-4(dx+dy)
Relevant Equations
What does -4(dx+dy) mean?
Hi, last semester I "solved" a full differential equation and the answer was (see the picture). What does it mean? Can I make a graphic with it or what? I really don't get it.

*Arrows are just a continuation of the main formula*

293482098_2905522343085816_5653388484348363792_n.jpg
 
Physics news on Phys.org
I don't see a differential equation
( something of the form ##f ' = g(x,y)## )
so I have no idea what you are doing.
Can you try to explain what you think you are doing?

## \ ##
 
Reply
  • Like
Likes FactChecker and topsquark
It looks like you are calculating the differential of f(x,y) = x^2/y at the point (x,y) = (-2,1).
 
Reply
  • Like
Likes Steve4Physics and FactChecker

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Solving system of differential equations using elimination method
Replies
10
Views
1K
I don't understand how the author calculated the pullback of the 1 form (differential geometry)
Replies
5
Views
2K
Finding the differential equation of motion
Replies
4
Views
2K
Solution of a parametric differential equation
Replies
4
Views
2K
Solving a linear differential equation with constant coefficients
Replies
9
Views
2K
Solving a second-order differential equation
Replies
33
Views
4K
Verify Green's Formula for a Simple DE
Replies
1
Views
1K
Reduction of order for Second Order Differential Equation
Replies
2
Views
1K
What does the square of a differential mean?
Replies
2
Views
2K
Solve the given differential equation
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top