Calculus Examples

Solve the Differential Equation
Step 1
Rewrite the equation.
Step 2
Integrate both sides.
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Set up an integral on each side.
Apply the constant rule.
Integrate the right side.
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Let . Then . Rewrite using and .
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Let . Find .
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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 .
Add and .
Rewrite the problem using and .
By the Power Rule, the integral of with respect to is .
Replace all occurrences of with .
Group the constant of integration on the right side as .
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