Solve the ODE d4ydt4 + 8 d2ydt2 + 16y = 0 with someappropriate initial conditions.You may leave your answer in terms of constants of the problem.8 / 12
Question
Solution 1
To solve the given ordinary differential equation (ODE), we can use the characteristic equation method.
Step 1: Write down the characteristic equation by substituting y = e^(rt) into the ODE: r^4 + 8r^2 + 16 = 0
Step 2: Solve the characteristic equation for the roots r: (r^2 + 4)^2 = 0
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