Differential Equation From Slope Field

Question

Question 2: Consider a slope field where the slopes depend solely on the x-coordinate. At x = 0 the tangents are horizontal, and as x increases the slopes increase linearly (for example, at x = 5 the slope is 10). A solution curve passing through (0, 4) exhibits this behavior. Which differential equation is consistent with this slope field? (Do not use a calculator)

Accepted Answer

$$\frac{dy}{dx} = 2*x$$

Answer

$$\frac{dy}{dx} = x+4$$

Answer

$$\frac{dy}{dx} = 2*y$$

Answer

$$\frac{dy}{dx} = 2*x+4$$

Differential Equation From Slope Field

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