- #1
Jhenrique
- 685
- 4
If a system of first-order ODEs like ##\frac{d\vec{r}}{dt}=A\vec{r}## have as solution ##\vec{r} = C_1 \exp(\lambda_1 t)\hat{v}_1 + C_2 \exp(\lambda_2 t)\hat{v}_2## (being λ the eigenvalues and v the eigenvectors), so, given a system of second-order ODEs, like ##A \frac{d^2 \vec{r}}{dt^2} + B \frac{d\vec{r}}{dt} + C \vec{r} = \vec{0}##, which is the solution for it?