### Home > APCALC > Chapter 7 > Lesson 7.3.2 > Problem 7-111

What is the antiderivative of each of the following differential equations? Use implicit integration when necessary. Solve your equations for . Be careful about introducing the constant of integration at the appropriate time. Homework Help ✎

Notice that the derivative is in terms of

. Antidifferentiate!

Compare and contrast part (a) with part (b).

Which one requires implicit integration?

Translation: The derivative is equal the the original function squared times a constant.

What can you conclude about the original function?

Is it linear, quadratic, cubic, exponential, trigonometric, etc.?

Use implicit integration to check your conjecture.

Translation: The derivative of this function is a constant.

What can you conclude about the function?

Explain the significance of the absolute value.