Discuss the methods of undetermined coefficients and variation of parameters can be combined to solve the given DE:   The auxiliary equation   yields   . Therefore  . Next the presence of    in g(x) suggests that the particular solution includes a linear polynomial and solved …

Discuss the methods of undetermined coefficients and variation of parameters can be combined to solve the given DE Read more »

Is the set of functions   linearly dependent or linearly independent on (−∞, ∞)? Discuss. Functions will only be Linearly dependent when the meet these requirements: Within the functions intervals of , we will have multiple constants ‘c’. All of our constants …

Is the set of functions   linearly dependent or linearly independent on (−∞, ∞)? Read more »

In the treatment of cancer of the thyroid, the radioactive liquid Iodine-131 is often used. Suppose that after one day in storage, analysis shows that an initial amount A0 of iodine-131 in a sample has decreased by 8.3%. (a) Find …

In the treatment of cancer of the thyroid, the radioactive liquid Iodine-131 is often used Read more »

Suppose a small single-stage rocket of total mass m(t) is launched vertically, the positive direction is upward, the air resistance is linear, and the rocket consumes its fuel at a constant rate.  A mathematical model for the velocity v(t) of …

Suppose a small single-stage rocket of total mass m(t) is launched vertically, the positive direction is upward Read more »

A tank in the form of a right-circular cylinder standing on end is leaking water through a circular hole in its bottom.When friction and contraction of the water at the hole are taken into account,the height h of water in …

A tank in the form of a right-circular cylinder standing on end is leaking water through a circular hole in its bottom Read more »