Piecewise DE Resolution with Matching Conditions
Consider the following scenario: A composite rod has a temperature distribution that is modeled by different differential equations in two regions. For the left part of the rod (x < 0), the temperature y satisfies \(\frac{dy}{dx} = 2y\). For the right part (x \(\geq\) 0), the temperature satisfies \(\frac{dy}{dx} = -3y\). Given that the temperature […]