Question

2⋅(dy/dx)+2y=0

Differential equations
ANSWERED
asked 2021-06-16
\(\displaystyle{2}⋅{\left(\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}\right)}+{2}{y}={0}\)

Answers (1)

2021-06-17

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

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