Best solutions to - "Solve the derivative.xy=e2x;y′" - Plainmath

ediculeN

Answered question

2021-09-27

Solve the derivative.

x y = e^{2 x}; y^{'}

Answer & Explanation

Cullen

Skilled2021-09-28Added 89 answers

Step 1
Given:

x y = e^{2 x}

Differentiating with respect to x

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

Step 2

x \frac{d y}{d x} = 2 e^{2 x} - y

\frac{d y}{d x} = \frac{(2 e^{2 x} - y)}{x}

Hence,

y^{'} = \frac{2 e^{2 x} - y}{x}

Jeffrey Jordon

Expert2022-02-01Added 2605 answers

Answer is given below (on video)

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