Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .

c=

Step-by-step explanation:

Consider the given differential equation is

Taking all variables on right sides.

Let as assume,

and

Find partial derivatives and

and

Since , therefore the given differential equation is exact.

The solution of the exact differential equation is

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm