Constant-Coefficient, Linear, Homogeneous 2nd-Order ODEs -- System Response
by Mike Martin

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

a y " (t) + b y ' (t) + c y (t) = f (t) .

Consider a response on the interval from [0, tfinal]. The first response plotted is the unit-impulse response, when f (t) = δ (t). The second response plotted is the unit-step response, when f (t) = u (t). When measuring system response the initial conditions, y (0) and y ' (0), are both set to zero -- an unexcited system. The parameters a, b, and c are typically positive.

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

a =

b =

c =


tfinal =


ymin =

ymax =

y'min =

y'max =