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Differential EquationsHardSecond-Order Linear Equations

Second-Order Linear Equations · Hard problem

Solve y′′+1y′−2y=0y'' + 1y' - 2y = 0 with y(0)=5y(0) = 5, y′(0)=−1y'(0) = -1. The solution is y=c1e1t+c2e−2ty = c_1e^{1t} + c_2e^{-2t}. Find c1c_1.