Finding a Second Solution and Reduction of Order, part 1 (Differential Equations, Lecture 9)

In this lecture we'll start learning about second order ODEs. Our first goal is to learn how to find a second solution given one solution. We also address what's special about linear ODEs and introduce the idea of linearly independent functions and the Wronskian.

[MANIRIHOINNOCENT-mclp]

thank you for this, what about the ODE of 2rd order do not contain x or y explicitly?

[manojsurya]

Hi btmp, I took a quite long break, sry for that, after watchin this video I get an idea y ppl add the solution for the 2nd order ODE obtained by substitutin y=e^rx. At start of video is was confused that if 2nd order ode hav 2 solution then how they can hav any coefficient which will make them hav infinite solution, later I understood u menat Independent solution, and I got a doubt, at last if we add the 2 independent solution does that mean that the 2nd order ODE has 3 solution coz 2 separate n 1 combined??