Use your ingenuity to solve the equation [Hint: The roles

Chapter 2, Problem 29E

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QUESTION:

Use your ingenuity to solve the equation

\(\frac{d y}{d x}=\frac{1}{e^{4 y}+2 x}\).

[Hint: The roles of the independent and dependent variables may be reversed.]

Equation Transcription:

Text Transcription:

{dy}over{dx}={1}over{e^{4y}+2x}

Questions & Answers

QUESTION:

Use your ingenuity to solve the equation

\(\frac{d y}{d x}=\frac{1}{e^{4 y}+2 x}\).

[Hint: The roles of the independent and dependent variables may be reversed.]

Equation Transcription:

Text Transcription:

{dy}over{dx}={1}over{e^{4y}+2x}

ANSWER:

Solution

Step 1

In this problem, we have to solve the equation

        

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