{"type":"rich","version":"1.0","title":"Integrating factor for a linear first-order equation","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"\\frac{dy}{dx}+p(x)\\,y=q(x),\\text{multiply both sides by } \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x)\">\\frac{dy}{dx}+p(x)\\,y=q(x),\\text{multiply both sides by } \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x)</span>","width":640,"height":320}