Solve

9x^(2)+y-1=(4y-x)y^('),y(1)=0

. Find a cubic equation in

x

whose roots

b

the domain of the solution. Given that this cubic has only one real root (which you can qu learn by searching on "cubic solver"), decide whether the domain extends to

+\\\\infty

or to

-\\\\alpha

\ For what

b

is this exact? Solve it for that

b:ye^(2xy)+x+bxe^(2xy)y^(')=0

.\ Show that this is exact after multiplication by

xe^(x)

, and solve it:

(x+2)siny+xy^(')cosy=

14. Solve 9x2+y1=(4yx)y,y(1)=0. Find a cubic equation in x whose roots b the domain of the solution. Given that this cubic has only one real root (which you can qu learn by searching on "cubic solver"), decide whether the domain extends to + or to 15. For what b is this exact? Solve it for that b:ye2xy+x+bxe2xyy=0. 16. Show that this is exact after multiplication by xex, and solve it: (x+2)siny+xycosy=