What is a solution to the differential equation \frac{dx}{dt}=t(x-2)?

Destinee Adams

Destinee Adams

Answered question

2022-04-18

What is a solution to the differential equation dxdt=t(x2)?

Answer & Explanation

ayibangaixgo

ayibangaixgo

Beginner2022-04-19Added 8 answers

dxdt=t(x2)
1x2dxdt=t
1x2dxdtdt=tdt
1x2dx=tdt
ln(x2)=t22+C
x2=et22+C=Cet22
x=Cet22+2

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