Please find the attachment for the questions.
Five Linear Homogeneous Differential equations that are to be solved using Variables separable and other standard methods are given in the attachment
Please see the attached files for the detailed and step by step solutions.
Solve the following differential equations:
This is a homogeneous equation, as the total degree of x and y in each term is same, 4.
In such problems, we substitute y=xv, which gives
Using this relation in (i), we get
Using the variables separable method, we can write
Integrating on both sides, we get
Substituting the ...
The solutions are provided to various differential equations using variables separable method and other standard methods to solve homogeneous, linear differential equations.