Question 11(d)

Question 11(d)

Solve the differential equation $\displaystyle \frac{dy}{dx} = xy$, given $y > 0$. Express your answer in the form $y = e^{f(x)}$

Solution

Substitute $u=\log{y}$ into the differential equation, since $y > 0$ then this is a valid transformation. We note that $\displaystyle \frac{du}{dy} = \frac1y$

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