{"type":"rich","version":"1.0","title":"Separation of variables for a separable first-order equation","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"\\frac{dy}{dx}=g(x)\\,h(y)\\qquad\\Longrightarrow\\qquad\\int\\frac{dy}{h(y)}=\\int g(x)\\,dx\">\\frac{dy}{dx}=g(x)\\,h(y)\\qquad\\Longrightarrow\\qquad\\int\\frac{dy}{h(y)}=\\int g(x)\\,dx</span>","width":640,"height":320}