Originally Posted by
Fibonacci88 Show that if g and g' are cont. on R and f is cont. on R, then the solution y(t,o,A,B) of
y''+ f(y) y'+ g(y)=0 , y(o)=A, y'(o)=B
exists locally, is unique and can be continued so long as y and y' remain bounded.
Hint: (Use a transformation)