Math  /  Calculus

QuestionConsider the differential equation dydx=5x16y+4\frac{d y}{d x}=\frac{5 x-1}{-6 y+4}, where y23y \neq \frac{2}{3}. The slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (2,1)(2,-1). undo last open circle erase all drawings
Click and drag to draw a function. Make sure that you draw the graph to the edge of the grid (where applicable). You may draw your graph all at once or piece by piece. Click the open circle button to drop an open circle at the center of the graph and drag it to the desired location (where applicable).

Studdy Solution
Sketch the solution curve on the slope field:
1. Start at the point (2,1)(2, -1).
2. Follow the direction of the slope lines, ensuring the curve aligns with the slope field.
3. Extend the curve to the edges of the grid, maintaining the pattern indicated by the slope field.

The solution curve passing through (2,1)(2, -1) is sketched on the slope field, following the direction of the slope lines.

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