-60 -80 0 20 40 60 80 100 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) =
-60 -80 0 20 40 60 80 100 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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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) =
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