# 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

Since is constant with respect to , the derivative of with respect to is .

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

Simplify .

Step 3.1.1

Multiply .

Step 3.1.1.1

Multiply by .

Step 3.1.1.2

Multiply by .

Step 3.1.2

Subtract from .

Step 3.2

Subtract from both sides of the equation.

Step 3.3

Divide each term in by and simplify.

Step 3.3.1

Divide each term in by .

Step 3.3.2

Simplify the left side.

Step 3.3.2.1

Cancel the common factor of .

Step 3.3.2.1.1

Cancel the common factor.

Step 3.3.2.1.2

Divide by .

Step 3.3.3

Simplify the right side.

Step 3.3.3.1

Divide by .