First-order PDE (variable coefficients)

First-order PDE Here is a standard trick for solving first-order partial differential equations. We solve a variable-coefficient first-order linear PDE using the slope method or the method of characteristics. This involves noticing that a directional derivative of our solution is zero, and therefore our solution is constant on characteristic curves. To determine those curves we need to solve a differential equation. Subscribe to my channel:    / drpeyam   Instagram:   / peyamstagram   Teespring merch: https://dr-peyam.creator-spring.com/?