Mathematics, 18.07.2019 21:20 Callmetay24
Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = preview
Answers: 2
be an auxiliary solution of equation (i).
![m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.](/tpl/images/0105/4105/7ef30.png)
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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = preview...
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