问题
问答题
设函数f(x),g(x)满足f’(x)=g(x),g’(x)=2ex-f(x),且f(0)=0,g(0)=2,求
.
答案
参考答案:由f’(x)=g(x),g’(x)=2ex-f(x),得f"(x)=2ex-f(x)
于是有
.解方程得f(x)=sinx-cosx+ex.
解析:[考点] 解函数方程
设函数f(x),g(x)满足f’(x)=g(x),g’(x)=2ex-f(x),且f(0)=0,g(0)=2,求
.
参考答案:由f’(x)=g(x),g’(x)=2ex-f(x),得f"(x)=2ex-f(x)
于是有
.解方程得f(x)=sinx-cosx+ex.
解析:[考点] 解函数方程
交际运用。 | |
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