# Definition:Linear Second Order ODE with Constant Coefficients/Historical Note

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## Historical Note on Linear Second Order ODE with Constant Coefficients

The first methods for solving linear second order ODEs with constant coefficients were devised by Leonhard Paul Euler.

The case where the auxiliary equation has repeated roots was addressed by Jean le Rond d'Alembert.

Rehuel Lobatto ($1837$) and George Boole ($1859$) worked on refining the symbolical methods.

## Sources

- 1952: H.T.H. Piaggio:
*An Elementary Treatise on Differential Equations and their Applications*(revised ed.) ... (previous) ... (next): Historical Introduction