# Science:Math Exam Resources/Courses/MATH152/April 2011/Question B 02 (a)

MATH152 April 2011
Other MATH152 Exams

### Question B 02 (a)

Consider the differential equation system

${\displaystyle \mathbf {y} '=A\mathbf {y} }$

where A has eigenvalues ${\displaystyle \lambda _{1}=-1}$ and ${\displaystyle \lambda _{2}=-2}$ with corresponding eigenvectors

{\displaystyle {\begin{aligned}\mathbf {k} _{1}={\begin{bmatrix}1\\2\end{bmatrix}},\qquad \mathbf {k} _{2}={\begin{bmatrix}2\\3\end{bmatrix}}.\end{aligned}}}

What is the general solution of the system of differential equations?

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