Problem

e 7 : solve the following differential equation : \[ y^{\prime \prime}-y=0 \]

Solution

Step 1 :Find the characteristic equation: \(r^2 - 1 = 0\)

Step 2 :Find the roots: \(r_1 = -1\) and \(r_2 = 1\)

Step 3 :Write the general solution: \(y(x) = C_1 e^{-x} + C_2 e^{x}\)

Step 4 :\(\boxed{y(x) = C_1 e^{-x} + C_2 e^{x}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/7380/

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