Question

Asked Feb 15, 2019

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Step 1

e^{x/y} = 4x - y

Let's differentiate both sides with respect to x.

Recall:

1. The chain rule of differentiation

2. Derivative of e^{x/y} = d(e^{x/y}) / dx = e^{x/y}.d(x/y) / dx

3. d(x/y) = 1/y -x/y^{2}.dy / dx

Step 2

Hence, LHS on differentiation = d(e^{x/y}) / dx = e^{x/y}.(1/y -x/y^{2}.dy / dx)

RHS on differentiation = 4 - dy / dx

Step 3

Hence, ex/y.(1/y -x/y2.dy / dx) = 4 - dy / dx

Regroup the terms containing dy / dx on LHS, we get

dy ...

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