number one i have correct (x-80) need help w other 3 The image displays a Cartesian coordinate graph featuring a straight blue line. The x-axis and y-axis both range from -80 to 20, marked in increments of 20. The line starts from the point (0, -80) and rises steadily to the point (100, 20). The graph indicates linear growth with a positive slope. A specific point on this line is marked with coordinates (80, 0), indicating where the line intersects the x-axis. The grid background helps visualize the slope and intersection points. ## Differential Equation System and Solutions### Task Description1) **Write a differential equation describing this system.** This requires finding the equation of the line on the graph. \(\frac{dy}{dx} =\) [Enter your equation here]2) **Find the general solution to this differential equation.** The general solution is: \( f(x) =\) [Enter general solution here]3) **Given that the graph of the function \( f(x) \) includes the point (0, 100), find the specific solution.** This requires finding the specific value of the arbitrary constant \( C \). The specific solution is: \( f(x) =\) [Enter specific solution here]4) **Now find the specific solution of the differential equation found in 1), given that the graph of the function \( f(x) \) includes the point (2, 0).** The specific solution is: \( f(x) =\) [Enter specific solution here]### Graph Description- The graph displays a linear function.- The line starts at the point (0, 100) and passes through another marked point at (2, 0).- The axes are labeled with intervals of 20, ranging from -80 to 100 on both axes.

Answered: Image /qna-images/answer/672542e5-e9c6-496b-9738-4c88ebd31ffc.jpg

1) Write a differential equation describing this system. This implies that you need to find the equation of the line on the graph. df = dx 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The general solution is: f(x) = +C 3) Now given that graph of the function f(x) includes the point (0, 100) find the specific solution of the differential equation found in 1). i.e, in addition to the general solution you will have to find specific value of the arbitrary constant C. The speicifc solution is: f(x) = 4) Now find the specific solution of the differential equation found in 1) given that the graph of the function f(x) includes the point (2,0). The specific solution is: f(x) =

1) Write a differential equation describing this system. This implies that you need to find the equation of the line on the graph. df = dx 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The general solution is: f(x) = +C 3) Now given that graph of the function f(x) includes the point (0, 100) find the specific solution of the differential equation found in 1). i.e, in addition to the general solution you will have to find specific value of the arbitrary constant C. The speicifc solution is: f(x) = 4) Now find the specific solution of the differential equation found in 1) given that the graph of the function f(x) includes the point (2,0). The specific solution is: f(x) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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