Question

Solve the differential equation:
${x}^{2} \frac{ {d}^{2}y }{ {dx}^{2} } + x \frac{dy}{dx} + (x - 1)y = 0$
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Answer 1

There is a typographical error, I believe. It should be:

[x^2 * (d^2y / dx^2) + x * (dy / dx) + y] = 0

Or, [x^2 * D^2 + x * D + 1] y = 0 where 'D' stands for differential with respect to x.

The answer is y = [a * {cos (ln x)} + b * {sin (ln x)}]; where a, b are constants.

Please find my workout above:

Answer 2

Answer:

Your answer in the attachment

Hope it helps you

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