## SolomonZelman one year ago Random....

1. SolomonZelman

$$\large\color{black}{ \displaystyle y'+\frac{1}{x}y={\rm W} }$$ (W is a constant) Of course, it is a linear equation. Integrating factor: $$\large\color{black}{ \displaystyle e^{{\rm H}(x)}= e^{\ln(x)}=x}$$ multiplying times this integrating factor: $$\large\color{black}{ \displaystyle y'x+y={\rm W}x }$$ $$\large\color{black}{ \displaystyle y'x+y\Longrightarrow \frac{dy}{dx}\left[yx \right] }$$ $$\large\color{black}{ \displaystyle \frac{dy}{dx}\left[yx \right]={\rm W}x }$$ $$\large\color{black}{ \displaystyle y=({\rm W}/2)x+C/x }$$

2. SolomonZelman

nvm

3. Astrophysics

Haha, had me interested, is this suppose to be a differential equation? :P

4. SolomonZelman

Was like dah... jk It was random.... (wouldn't envoke a series solution here)