Second order differential equations of the form dtd2x=f(x,dtdx,t),
A second order differential equation is a differential equation of the form
To solve these equations, we rewrite it as a system of coupled first order equations. Using the fact that dtd2x=dtd(dtdx) and substituting dtdx=y,
This equation can be solved with the usual techniques for coupled systems. On exams, questions involving second-order differential equations are usually set in a real-world context such as movement.
Nice work completing Second Order Differential Equations, here's a quick recap of what we covered:
Exercises checked off
Second order differential equations of the form dtd2x=f(x,dtdx,t),
A second order differential equation is a differential equation of the form
To solve these equations, we rewrite it as a system of coupled first order equations. Using the fact that dtd2x=dtd(dtdx) and substituting dtdx=y,
This equation can be solved with the usual techniques for coupled systems. On exams, questions involving second-order differential equations are usually set in a real-world context such as movement.
Nice work completing Second Order Differential Equations, here's a quick recap of what we covered:
Exercises checked off