Overview
Learn to solve first-order differential equations using various methods such as integrating factors, exact equations, linear models, Bernoulli differential equations, and homogeneous substitution. The course aims to teach students the skills needed to solve different types of first-order differential equations effectively. The teaching method involves theoretical explanations followed by practical applications through examples and exercises. This course is intended for individuals interested in gaining a solid understanding of first-order differential equations and their applications in various fields such as mathematics, physics, engineering, and economics.
Syllabus
ODE :: y' - x/(x+1)y = x :: Integrating Factor for Linear Equations.
Exact Equations :: (1-3/y + x) dy/dx +y = 3/x-1.
Exact Differential Equation IVP:: ((y^3-t^2)/y^5)dy/dt = -t/(2y^4).
Linear Models:: Applications of Linear ODEs.
Bernoulli DIfferential Equation || xy' -(1+x)y = xy^2.
(x^2+2y^2) dx/dy = xy || Homogeneous Substitution.
Taught by
Jonathan Walters