18.03 Lecture Notes - Lecture 3: Rc Circuit, Dependent And Independent Variables, Voltage Source

This equation is a first order linear equation for v′. Solving this equation, integrating the result, and then multiplying by y1(t) leads to the general solution of the first equation. Use the method above to solve the differential equation t^2y′′−2ty′+2y=7t^2, t>0, y1(t)=t.

Solving a First-Order Linear Differential Equation In Exercises 7-14, find the general solution of the first-order linear differential equation for

Solving a First-Order Linear Differential Equation In Exercises 7-14, find the general solution of the first-order linear differential equation for .