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A slope of 5/2 signifies that moving 2 units horizontally results in moving 5 units vertically. To visualize this, from any point on the line, shift 2 units right, and from there, move upwards until you intersect the line again. If the vertical movement is 5 units, the slope is confirmed to be 5/2. Option A indicates a slope of 5/2, B specifies a slope of 4/2, while C affirms the slope of 5/2. I can't clearly see the graphs represented in images D and E; however, E might have a slope of 5/2, which should be measured, and D clearly does not match the slope of 5/2, as it can be compared with A, demonstrating a significant difference, thus it can be eliminated.
Answer:
Step-by-step explanation:
Considering the differential equation x^4(dy/dx) + x^3y = -sec(xy). We will solve it employing the method of separation of variables;
By substituting v and dv/dx into the previous equation, we acquire;
We then separate the variables:
The end expression provides the solution to the differential equation.
