Question

A second order differential equation for the function yt is... O a differential equation involving the second power of y a differential equation involving the second derivative of y at least two terms involving y O a differential equation involving the square of the first derivative of y

Answer 1

Answer: Hi! A second order differential equation for the function y(t) has the next shape:

$y''(t) + p(t)y'(t) + q(t)y(t) = g(t)$

Where p(t), q(t) and g(t) are functions of t.

Then a second order differential equation for y is a differential equation involving the second derivative of y.

Is useful to remember that the order in a differential equation tells us the number of derivations involved in our function, for example, a "third order differential equation" is that involving the third derivative of y, but usually for orders above of two, are called "higher orders differential equations"