Since it's not a domain restricted function anywhere, the domain of this function is (-∞, ∞). Because the x is squared, you will <em>never </em>get a negative answer, and therefore, the range is either (0, ∞) or {x: x > 0}. Hope this helps you out!
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Answer: Hi! A second order differential equation for the function y(t) has the next shape:
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"
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