# Calculus Examples

,

Step 1

Step 1.1

Differentiate both sides of the equation.

Step 1.2

The derivative of with respect to is .

Step 1.3

Differentiate using the Power Rule which states that is where .

Step 1.4

Reform the equation by setting the left side equal to the right side.

Step 2

Substitute into the given differential equation.

Step 3

Step 3.1

Factor out of .

Step 3.2

Cancel the common factors.

Step 3.2.1

Raise to the power of .

Step 3.2.2

Factor out of .

Step 3.2.3

Cancel the common factor.

Step 3.2.4

Rewrite the expression.

Step 3.2.5

Divide by .

Step 4

The given solution satisfies the given differential equation.

is a solution to