Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
1 answer:
Answer:
.
Step-by-step explanation:
Given homogeneous equation


Substitute y=ux , 

Now,




Integrating both side we get
lnu=-2lnx+lnC
Where lnC= integration constant


Cancel ln on both side

Substitute 
Then we get
xy=C
.
Answer:
.
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