Question

Linear equations of second order with constant coefficients. Find all solutions on (−∞,+∞). y''−4y=0

Linear equations and graphs
ANSWERED
asked 2021-05-27
Linear equations of second order with constant coefficients. Find all solutions on \(\displaystyle{\left(−∞,+∞\right)}\). y''−4y=0

Answers (1)

2021-05-28

The characteristic equation is given by \(\displaystyle{\left({r}^{{2}}\right)}-{4}={0}\) and has the roots \(r_1=2 \text{ and } r_2=-2\). The general solution is given by
\(\displaystyle{y}={c}_{1}{e}^{{2}}{x}+{c}_{2}{e}^{{-{{2}}}}{x}\) where e1 and e2 are arbitrary costant.

0
 
Best answer

expert advice

Need a better answer?
...