f(x)为多项式满足方程xf"(x)+(1-x)f'(x)+3f(x)=0,f(0)=1,求f(x)

设f(x)为连续函数,且满足设f(x)=x+∫(0,1)xf(x)dx,求f(x) F(X)满足F(x)+2f(x分之1)=3X,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x)? 已知f(x)满足2f(x)+f(-x)=-3x+1,求f(x) 已知函数f(x)可导,且f(1)＝1 若f(x)满足方程f(x)＋xf'(x)＝0,求f(2) 函数f(x)满足2f(x)+xf(-x)=x²+1,求f(x)解析式. f(x)=x+积分符号1到0,xf（x)dx,求f(x) 设当x>0时,函数f(x)连续且满足f(x)=x+∫(1,x)1/xf(t)dt,求f(x) 设函数可导,且满足xf'(x)=f'(-x)+1,f(0)=0 求f'(x) 求f(x)的极限 设函数f(x)满足f(x)+2f(1/x)=x,求f(x) 设f(x)为连续函数,且满足f(x)=3x^2-x∫（1,0）f(x)dx求f(x)