In a separation of variables problem you find thatmakes sense. What can you conclude?A' (t)A(t)for all r and t where thisA. The function A'(t)/A(t) must be constant but not necessarily the function y"(x)/y(x).B. The function y(x)/(x) must be constant but not necessarily the function A'(t)/A(t).C. Both A'(t)/A(t) and y" (2)/y(x) must be constant but not necessarily the same constant.D. Both A'(t)/A(t) and y"(x)/y(x) must be constant and equal to the same constant.

Given: In a separation of variable problem, A'tAt=y"xyx, for all x and t. We need to find the…

in a separation of variables problem you find that makes sense. What can you conclude? A' (t) A(t) y'(x) for all and t where this T A. The function A'(t)/A(t) must be constant but not necessarily the function y(x)/y(x). B. The function "(z)/y(z) must be constant but not necessarily the function A'(t)/A(t). C. Both A'(t)/A(t) and y'(r)/y(r) must be constant but not necessarily the same constant. D. Both A'(t)/A(t) and y"(x)/y(r) must be constant and equal to the same constant.