Inside The New York Times1-Classify the equation as as an Ordinary Differential Equation (ODE)or partial differ-ential Equation(PDE), Linear or Non-linear , state the order , and determine the dependent and independent variablesx (d^2y)/(dx^2)-x^(3 dy/dx)+4xy=02-determain whether the given function is a solution of the differential equation .y=2cos??(3x)+e^(-x) ? , (d^2y)/(dx^2)+9=10e^(-x)3- solve the differential equations.dy/dx-y^2=4(b)x dy/dx=(1-9y^2)/6y4- Sovle the Initial value Problemdy/dx+3y/x=5x-8, y(1)=15- Verify that the differential equation is exact , and then solve it . (Hint: Test for exactness frist )(2x-cos??x ? sin?y )dx+(2y-sin??x cos?y ? )dy=06- solve the differential equation.-ydx+(y^4-y+x)dy=07- solve the differential equation .(Hint: A substitution may be needed)x dy/dx-3y=-x^3 y^2? Your paper should thoroughly address the discussion questions below.? Your paper should include at least three references/outside sources on the topic, beyond class sources. List these references in a bibliography at the end of your response paper.? Read the article, Content And Its Discontents, on Blackboard, and use it to answer question #6.Consider the following questions in your response to the film:1. What was your overall reaction to the film? What was the purpose of the film? Was this successfully communicated by the filmmakers?2. David Carr and Brian Stelter are two journalists featured in the film. In what ways do they represent old and new journalism? What are the challenges being faced by TheNew York Times in the “collision of two worlds” (old and new media)?3. In what ways does WikiLeaksdefine new standards of journalism? How does Julian Assange define the role of a journalist?4. What is “TheNew York Times Effect?”5. What were the challenges faced by The New York Times in the first decade of the 21st century?6. Read the article, Content And Its Discontents. In your opinion, what qualifications are needed to be a successful news reporter/journalist?7. Given the issues you’ve seen depicted in the film, what do you envision as the future role of professional journalism in American society? Does The New York Times play a role in that future?