## Explain why it is always possible to express any homogeneous D.E.

Explain why it is always possible to express any homogeneous D.E.  in the form  you might start by proving that:   Any homogeneous

## Suppose P(x) is continuous on some interval I and a is a number in I. What can be said about the solution of the initial-value problem

Suppose P(x) is continuous on some interval I and a is a number in I. What can be said about

## Suppose water is leaking from a tank through a circular hole of area  at its bottom.

Suppose water is leaking from a tank through a circular hole of area  at its bottom. When water leaks through a

## Find a function whose second derivative is y” = 12x – 2 at each point (x,y) on its graph and y = -x+5

Find a function whose second derivative is y” = 12x – 2 at each point (x,y) on its graph and

## Suppose that y(x) denotes a solution of the first-order IVP  and that y(x) possess at least a second derivative at x=1.

20. Suppose that y(x) denotes a solution of the first-order IVP  and that y(x) possess at least a second derivative at

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

Discuss the methods of undetermined coefficients and variation of parameters can be combined to solve the given DE:   The auxiliary equation

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

Is the set of functions   linearly dependent or linearly independent on (−∞, ∞)? Discuss. Functions will only be Linearly dependent

## In the treatment of cancer of the thyroid, the radioactive liquid Iodine-131 is often used

In the treatment of cancer of the thyroid, the radioactive liquid Iodine-131 is often used. Suppose that after one day

## In one model of the changing population P(t) of a community, it is assumed that

In one model of the changing population P(t) of a community, it is assumed that   where dB/dt and dD/dt

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

A tank in the form of a right-circular cylinder standing on end is leaking water through a circular hole in

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