題目 Problem II. Suppose that fff is a continuous function satisfying f(x)=2+∫0xf(t)(t+2)(t+3) dt,x≥0。f(x)=2+\int_0^x \frac{f(t)}{(t+2)(t+3)}\,dt,\quad x\ge 0。f(x)=2+∫0x(t+2)(t+3)f(t)dt,x≥0。 Find (a) f(0)f(0)f(0). (5%)(5\%)(5%) (b) f(3)f(3)f(3). (10%)(10\%)(10%) 解答