Toronto Math Forum

MAT244--2018F => MAT244--Lectures & Home Assignments => Topic started by: Jiacheng Ge on November 01, 2018, 11:40:54 PM

Title: sketch a graph
Post by: Jiacheng Ge on November 01, 2018, 11:40:54 PM
What's the strategy to sketch a graph of the solution in the x1- x2 plane for t>0?
Title: Re: sketch a graph
Post by: Monika Dydynski on November 02, 2018, 10:17:47 AM
For assigned exercises 8-12 in 7.1, the solutions are equations in parametric form, $x_1(t)$ and $x_2(t)$.

Each value of $t$ gives a point $(x_1(t), x_2(t))$ on the curve in the $(x_1,x_2)$-plane.

One way to sketch the graph of the solution in the $(x_1,x_2)$-plane for $t \ge0$ is to evaluate $x_1(t)$ and $x_2(t)$ at different values of $t \ge 0$, where $x_1$ is the horizontal axis and $x_2$ is the vertical axis.

Not sure if there is a more efficient way of doing this.