设f(x)在[0,+∞)上可导,,y=y(x)为方程y’+ay=f(x)(a>0)的任一解,则

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问题 设f(x)在[0,+∞)上可导,,y=y(x)为方程y’+ay=f(x)(a>0)的任一解,则

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答案b/a

解析 方程y’+ay=f(x)的通解为y=e-ax(∫0xf(t)eatdt+c),故
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