Solve the differential equation using an appropriate substitution.x dydx – 1 + xy = xy2{“version”:”1.1″,”math”:”Solve the differential equation using an appropriate substitution.x dydx - 1 + xy = xy2″} Instructions: 1. Please note that you must enter your answer in the box provided below. If there is no answer provided in the box below, your work uploaded will not be accepted and a score of 0 will be given to this question. 2. Upload your work to the Dropbox

The differential equation given byx dydx = y + x2 – y2 ,  x >0is homogeneous.{“version”:”1.1″,”math”:”The differential equation given byx dydx = y + x2 - y2 ,  x >0is homogeneous.”}  

Solve the given initial value problem:y dxdy-x = 2y2,    y1=5{“version”:”1.1″,”math”:”Solve the given initial value problem:y dxdy-x = 2y2,    y1=5″} Instructions: 1. You must enter your answer in the box provided below. If there is no answer provided in the box below, your work uploaded will not be accepted and a score of 0 will be given to this question. 2. Upload your work in the dropbox.

Determine whether the following differential equation is exact. (sin y – y sin x) dx + cos x + x cos y – y dy = 0{“version”:”1.1″,”math”:”Determine whether the following differential equation is exact. (sin y - y sin x) dx + cos x + x cos y - y dy = 0″}   Instruction: Please check TRUE if the differential equation is exact or FALSE if it is not exact.

Solve the differential equation: ex ydydx = e-y + e-2x – y{“version”:”1.1″,”math”:”Solve the differential equation: ex ydydx = e-y + e-2x - y”} Instructions: 1. You must enter your answer in the box provided below. If there is no answer provided in the box below, your work uploaded will not be accepted and a score of 0 will be given to this question. 2. Upload your work in the dropbox.

3. Distinguish between experimental and correlational designs. 

9. What is the order of operations for working through equations? 

 6. Distinguish between histograms and bar graphs. When do we use each? 

1.  Distinguish between descriptive and inferential statistics. In your answer, explain what each term means. 

BONUS (worth up to 5 points) Provide an example of  an experiment. Label your Hypothesis, IV, DV, control group, and experimental group.