Question

2⋅(dy/dx)+2y=0

Differential equations
ANSWERED
asked 2021-08-21
\(\displaystyle{2}⋅{\left(\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}\right)}+{2}{y}={0}\)

Expert Answers (1)

2021-08-22

This equation is \(y'+2y=0\)
Its characteristic equation is \(\displaystyle{r}+{2}={0}\to{r}=-{2}\)
Therefore, the solution is \(\displaystyle{y}={C}{e}^{{-{{2}}}}{x}\)

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