Differential Equations 02

For the classes of Atul Roy: Solving a basic linear differential equation with the use of an integrating factor 0:00 Example of a linear differential equation (dy/dx)+(y/x)=x^4 3:13 Example of a linear differential equation (dy/dx)-(y/x)=x^4 9:30 linear differential equation (dy/dx)+Py=Q in general 12:45 linear differential equation (dy/dx)=(tanx)y=secx 16:25 linear differential equation x(dy/dx)+(3x+1)y=exp(-3x) 21:40 linear differential equation (1+x^2)(dy/dx)+2xy=f(x). f(x) piecewise defined 35:30 Differential Equations of the type M(x,y)dx+N(x,y)dy=0 43:50 Exact Differential Equation Mdx+Ndy=0 Please note that there is an algebra mistake in the example 2 at the end, y(x^-1)=(x^4/4)+C is solved as y=(x^5/4)+Cx NOT as y=(x^3/4)+(C/x) and in the example 6, the sign of the partial of N wrt x should be reversed. Sorry for the inconvenience.