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Question 1:
show that the given differential equation is homogeneous and solve it
The given differential equation i.e., (x2 + xy) dy = (x2 + y2) dx can be written as:
This shows that equation (1) is a homogeneous equation.
To solve it, we make the substitution as:
y = vx
Differentiating both sides with respect to x, we get:
Substituting the values of v and 
in equation (1), we get:
Integrating both sides, we get:
This is the required solution of the given differential equation.
