Show that $y=2 x^2+c x$ is a general solution of the differential equation $x y^{\prime}-y=2 x^2$.

Find a general solution. Show the details of your calculation. 4y''+32y'+63y=0

A blank schedule of accounts payable is given in the Working Papers. Use Golden Fabrics' cash payments journal from the previous Work Together and the accounts payable and general ledgers from the previous Work Together.

3. Post the cash payments journal to the general ledger.

The Eötvös Experiment. Galileo’s result that all objects fall to Earth with the same acceleration (neglecting air resistance) is very important to general relativity—if it were not true, general relativity would be in serious trouble. Describe the experiments of Baron Roland von Eötvös, who tested Galileo’s conclusions in the late 19th century. How did the results of these experiments influence Einstein as he worked on general relativity? Write a one- to two-page summary.

Which of the following components occur in all of the mixed cranial nerves ? Choose as many as apply: (a) general somatic sensory; (b) special somatic sensory; (c) general visceral sensory; (d) special visceral sensory (taste), (e) somatic motor to pharyngeal arch muscles.

In general, the Hasse diagrams of which $B_n$ have an Euler circuit? Justify your answer.

First use (20) to express the general solution of the given differential equation in terms of Bessel functions. Then use (26) and (27) to express the general solution in terms of elementary functions. $16 x^{2} y^{\prime \prime}+32 x y^{\prime}+\left(x^{4}-12\right) y=0$

Find the most general antiderivative of the function. (Check your answer by differentiation.)

$$f ( x ) = e ^ { 2 }$$

find the general solution of the given differential equation. y” + 2y' + 5y = 3 sin 2t

Based on your answers to earlier questions , indicate whether the following statements are true or false: a. In general, the price of a bond rises when the interest rate rises. b. In general, the price of a bond rises when a given sum of money is received sooner rather than later.

Construct the general solution of x'=Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories.

$$A=\left[ \begin{array}{rrr}{53} & {-30} & {-2} \\ {90} & {-52} & {-3} \\ {20} & {-10} & {2}\end{array}\right]$$

Construct the general solution of x'=Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories.

$$A=\left[ \begin{array}{rrr}{30} & {64} & {23} \\ {-11} & {-23} & {-9} \\ {6} & {15} & {4}\end{array}\right]$$

Find an example to show that, in general, each statement is true.

cos (a -b) $\neq$ cos a -cos b

Show that the general solution of

$$x y ^ { \prime \prime } + 2 y ^ { \prime } + x y = 0$$

is $y ( x ) = x ^ { - 1 } ( A \cos x + B \sin x )$.