Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2024 / Paper 2 / 15 / a / iii

Table of contents
- Solution iii

Solution

The characteristic roots are

m = \frac{- 3 \pm 9 - 16}{2} = - \frac{3}{2} \pm i \frac{7}{2} .

Taking real linear combinations of the two complex exponential solutions yields

y (x) = e^{- 3 x /2} [C_{1} cos (\frac{7}{2} x) + C_{2} sin (\frac{7}{2} x)] .

The coefficient

β

is three here, as confirmed in the PDF; the OCR replaces it by an undefined symbol.

 Ancestors (13)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version