SOLUTION: Help me with this maths problem tutor Solve the dirfferntial equation dy/dx = (1+y)/(2+×) a. y=2Ax b, y=B-Ax c. y=Ax+B d. y=sqrt(Ax+B) e. None of the above

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Help me with this maths problem tutor Solve the dirfferntial equation dy/dx = (1+y)/(2+×) a. y=2Ax b, y=B-Ax c. y=Ax+B d. y=sqrt(Ax+B) e. None of the above      Log On


   

Question 1180201: Help me with this maths problem tutor
Solve the dirfferntial equation dy/dx = (1+y)/(2+×)
a. y=2Ax
b, y=B-Ax
c. y=Ax+B
d. y=sqrt(Ax+B)
e. None of the above
Found 2 solutions by Edwin McCravy, mccravyedwin:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
dy%2Fdx%22%22=%22%22%281%2By%29%2F%282%2Bx%29

%282%2Bx%29dy%22%22=%22%22%281%2By%29dx

Divide through by (1+y)(2+×)

dy%2F%281%2By%29%22%22=%22%22dx%2F%282%2Bx%29

int%28dy%2F%281%2By%29%29%22%22=%22%22int%28dx%2F%282%2Bx%29%29

ln%281%2By%5E%22%22%29%22%22=%22%22ln%282%2Bx%5E%22%22%29%22%22%2B%22%22ln%28C%5E%22%22%29

ln%281%2By%5E%22%22%29%22%22=%22%22ln%28C%282%2Bx%29%5E%22%22%29%29

1%2By%22%22=%22%22C%282%2Bx%29

y%22%22=%22%22C%282%2Bx%29-1

This is the general solution.  

Now, while this is a form of choice c, y%22%22=%22%22Ax%2BB, 
there is only one arbitrary constant, so if A and B are both arbitrary
constants, choice c  cannot be the solution.  So I vote for 
e. none of the above.

Edwin

Answer by mccravyedwin(407) About Me  (Show Source):