What is a solution to the differential equation \frac{dy}{dx}=2y-1?

Rosa Townsend

Rosa Townsend

Answered question

2022-04-19

What is a solution to the differential equation dydx=2y1?

Answer & Explanation

ayibangaixgo

ayibangaixgo

Beginner2022-04-20Added 8 answers

Substituting z=2y-1 in dydx=2y1
and considering
dzdx=2dydx we have
12dzdx=z. Grouping variables
dzz=2dx and integrating
logez=2x+C1 or equivalently
z=C2e2x=2y1 and finally
y=C2e2x+12

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