Calculus Examples

Solve the Differential Equation
Step 1
Rewrite the equation.
Step 2
Integrate both sides.
Set up an integral on each side.
Apply the constant rule.
Integrate the right side.
Let . Then . Rewrite using and .
Let . Find .
Differentiate .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .