y' + x2 y = x2
The equation is linear.
Solution of the homogeneous equation:
Solution of the inhomogeneous equation:
intoy' + x2 y = x2
Solution:
Note: function y(x)=1 is called a particular solution. It is one solution that satisfies the inhomogeneous equation.
The general solution of linear equations is always: (any arbitrary particular solution) plus (the general solution of the homogeneous equation).
(What is wrong in the graph above)?