I tried using undetermined coefficients to solve this problem, but I know that I am missing something and i cannot find any reference material on this. If you help me, thank you.(adsbygoogle = window.adsbygoogle || []).push({});

The homogeneous equation for the system is:

y'=A*y

wherey= [tex] \left[ \begin{array}{c} y_1 \\ y_2 \end{array} \right] [/tex]

andA= [tex] \left[ \begin{array}{cc} -2 & 1 \\ -1 & 0 \end{array} \right] [/tex]

I end up with only one eigenvector of course, and I'm trying to use a solution that ends up as C1*V*[tex] e^t[/tex] + c2*V*[tex] t*e^t [/tex] where V is the only eigenvector of A, but that is not a complete solution.

What am I missing?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# System of Differential equations with a singular coefficient matrix, help?

Loading...

Similar Threads for System Differential equations |
---|

I Second order ordinary differential equation to a system of first order |

A Stability for a system of nonlinear ODEs |

I Boundary Conditions for System of PDEs |

A A system of partial differential equations with complex vari |

A A system of DEs with variable coefficients. |

**Physics Forums | Science Articles, Homework Help, Discussion**