8.1 General Theory for Linear Differential Equations.

Differential Equations and Linear Algebra. Higher-Order Derivative Operator. Example: Find the General Solution to the Homogeneous Differential Equation of the form y = e^(rx). Introducing the Non-Homogeneous Differential Equation of the form LY=F, and the Particular Solution Yp. The General Solution to the Non-Homogeneous is: Y(x)=Yc(x)+Yp(x).