116问答网 > 这道高数题目怎么解？

这道高数题目怎么解？

这道高数题目怎么解？简单高数题目！谢谢！
2025-04-01 02:59:06
推荐回答（2个）
回答1：

求微分方程 4y''-4y'+5y=0的通解
解：特征方程 4r²-4r+5=0的根 r₁=[4-√(16-80)]/8=(4-8i)/8=(1/2)-i； r₂=(1/2)+i;
故其通解为：y=[e^(x/2)](C₁cosx+C₂sinx);

回答2：

如图

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