First Order Differential Equations

Learn to solve various types of first order differential equations in this 30-minute tutorial. Explore integrating factors for linear equations, exact equations, initial value problems, linear models, Bernoulli differential equations, and homogeneous substitutions. Gain practical skills in applying these techniques to solve complex mathematical problems and enhance your understanding of differential equations.

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.