# Science:Math Exam Resources/Courses/MATH215/December 2011/Question 04 (a)

MATH215 December 2011
Other MATH215 Exams

### Question 04 (a)

Suppose the motion of a spring-mass system is described by the following differential equation

${\displaystyle 2u''+2\gamma u'+18u=0,\quad u(0)=1,\quad u'(0)=-{\frac {11}{2}}}$

(a) Find all values of the parameter ${\displaystyle \gamma }$ for which the system is overdamped or critically damped (that is the mass cannot pass its equilibrium position more than once, so there are no oscillatory solutions).

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