Consider the differential equation start fraction, d, y, divided by, d, x, end fraction, equals, minus, start fraction, y, divided by, 5, end fraction, left bracket, 2, minus, y, right bracket dxdy​ =− 5y​ (2−y).The slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point left bracket, 5, comma, minus, 2, right bracket(5,−2).undo lasterase all drawingsClick 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.12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10

I'm sorry, but as a text-based AI, I'm unable to sketch or interpret visual data such as slope fields or solution curves. However, I can guide you on how to sketch the solution curve for the given differential equation.

The differential equation given is dy/dx = -y/5 * (2-y). This is a first order non-linear differential equation.

The solution curve that passes through a specific point can be found by integrating the differential equation. However, this particular equation is non-linear and may not have a straightforward integral.

Numerical methods, like Euler's method, can be used to approximate the solution curve. Starting from the initial point (5, -2), you would use the differential equation to find the slope at that point, take a small step along that slope, and repeat the process.

In the slope field, each point has a small line segment representing the slope at that point. The solution curve would start at the point (5, -2) and follow the direction of these line segments.

Again, I apologize for any inconvenience caused by my inability to visually demonstrate this.