- #1
James889
- 192
- 1
Hi,
I was looking at a solution to a differential equation problem. And there are some parts that i don't understand.
[tex]\frac{dy}{dx} - \frac{2y}{x} = x^2[/tex]
And the solution looks like this:
[tex]e^\int{ \frac{-2}{x}} = \frac{1}{x^2}[/tex]
[tex]\frac{1}{x^2}\frac{dy}{dx} -\frac{2}{x^3}y=1[/tex]
[tex]\frac{d}{dx}\frac{y}{x^2}=1[/tex]
This is the part i don't understand, what does [tex]\frac{d}{dx}\frac{y}{x^2}[/tex] mean, and why is it equal to 1 ?
To be honest i find this notation pretty confusing.
I was looking at a solution to a differential equation problem. And there are some parts that i don't understand.
[tex]\frac{dy}{dx} - \frac{2y}{x} = x^2[/tex]
And the solution looks like this:
[tex]e^\int{ \frac{-2}{x}} = \frac{1}{x^2}[/tex]
[tex]\frac{1}{x^2}\frac{dy}{dx} -\frac{2}{x^3}y=1[/tex]
[tex]\frac{d}{dx}\frac{y}{x^2}=1[/tex]
This is the part i don't understand, what does [tex]\frac{d}{dx}\frac{y}{x^2}[/tex] mean, and why is it equal to 1 ?
To be honest i find this notation pretty confusing.