- #1

c0der

- 54

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## Homework Statement

Solve the system x'' + αx = 0

x = [ x1 x2 ]

α constant

## Homework Equations

x'' + αx = 0 Where x is a vector [x1 x2]

## The Attempt at a Solution

The solution of x'' + αx = 0 is x = Acosh(√α x) + Bsinh(√α x)

Differentiating x

x' = √α*Acosh(√α x) + √α*Bsinh(√α x)

x'' = α*Acosh(√α x) + α*Bsinh(√α x)

Plugging this back into the original ODE

α*Acosh(√α x) + α*Bsinh(√α x) - α(Acosh(√α x) + Bsinh(√α x)) = 0 is satisfied

I can't get this in Eigenform to solve for the system. What do I do in this case?