Constant-Coefficient, Linear, Homogeneous ODEs & IVPs
by Mike Martin

Consider a second-order, linear, constant-coefficent, homogeneous ordinary differential equation

a y " (t) + b y ' (t) + c y (t) = 0

with the initial conditions

y (0) = yo ,   y ' (0) = vo

Consider a solution on the interval from [0, tfinal]. The parameters a, b, & c are typically positive.

Enter in the values of the parameters, then press the "Visualize" button.

a =

b =

c =


yo =

vo =


tfinal =


ymin =

ymax =

y'min =

y'max =