# Differential equation

Find the particular solution of the following differential equation:

12(d^2y/dt^2)-3y=0

given that when t=0, y=3 and dy/dt=0.5

and could you explain the reasons for choosing y=e^(rt).

© BrainMass Inc. brainmass.com October 9, 2019, 7:44 pm ad1c9bdddfhttps://brainmass.com/math/ordinary-differential-equations/example-finding-solution-differential-equation-127754

#### Solution Preview

Please see the attached file.

Find the particular solution of the following differential equation

12(d2y/dt2) - 3y=0

given that when t=0, y=3 and dy/dt=0.5

Choosing y = ert simply by ...

#### Solution Summary

This solution provides an example of finding a particular solution for a differential equation.

$2.19