Solve the given differential equation by separation of variables.dy-(y-8)2dx=0

pancha3 2021-09-04 Answered
Solve the given differential equation by separation of variables.
dy(y8)2dx=0
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Expert Answer

Bentley Leach
Answered 2021-09-05 Author has 109 answers
Step 1
The differential equation is given as:
dy(y8)2dx=0
For finding the variable first we must put the same terms on one side and other terms on the other side of the equal to sign
dy(y8)2dx=0
dy=(y8)2dx
dy(y8)=2dx
Step 2
Now integrating both sides we get,
Where c is the integration constant variable.
dy(y8)=2dx
ln|(y8)|=2x+c
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