Unit 7 & 10

Front

What is a differential equation?

Back

An equation involving a function and its derivatives, often describing rates of change.

Front

How do differential equations model real-world problems?

Back

They represent how quantities change over time, like population growth or radioactive decay.

Front

Common example of a model?

Back

Front

Back

Front

How do you verify a differential equation solution?

Back

Differentiate the given function, plug into the original differential equation, and check if it holds true.

Front

Back

Front

What does each segment in a slope field represent?

Back

The slope of a solution curve at that point (x, y), based on the Diff Eq.

Front

Strategy for sketching a slope field?

Back

Front

Common mistake with slope fields...

Back

Forgetting that the slope depends on both x and y — not just one variable.

Front

Back

1 + 2 = 3