There are some differential equations that require other techniques in order to solve them. One type, called homogenous, requires a substitution in order to solve.
The substitution used can be of the form y = v x , or y = v / x,
where v is a function of x.
By using the substituion y = v x, and then the substitution
, find the general solution of the differential equation
I used a slightly different approach and got a slightly different result . . .
By using the substituion , and then the substitution ,
find the general solution of: .
Divide by . . Note:
and we have: .
. . and we have: .