Answer to Question #260688 in Differential Equations for Kaponi

Differential Equations

Question #260688

The complementary solution for the homogeneous equation y'' + 2y' + y = 0 winll be given as

Expert's answer

"y''+2y'+y=0"

Corresponding (auxiliary) equation

"r^2+2r+1=0"

"(r+1)^2=0"

"r_1=r_2=-1"

The complementary solution is

"y_c=c_1e^{-t}+c_2te^{-t}"

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