001 Linear Homogeneous And Nonhomogeneous Second-Order Equations

This video will teach us how to solve a linear second-order differential equation in homogenous and non-homogenous formats. In the latter, the answer is a polynomial.

𝑎.𝑦′′+𝑏.𝑦′+𝑐.𝑦=0 as a homogenous equation

𝑎.𝑦′′+𝑏.𝑦′+𝑐.𝑦=𝑎0+𝑎1.𝑥+𝑎2.𝑥2+⋯+𝑎𝑛.𝑥𝑛 as a non-homogenous polynomial equation

Moreover, some tips for the calculation of stability equations are presented in the following format:

𝑦′′+𝜆2.𝑦=𝑘.𝑥

Link to the description and detailed solution notes: Download