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Solve the given differential equation.

Ask by Burgess Norris. in the United States
Jan 19,2025

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The differential equation needs to be in the correct format for solving.

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The provided differential equation is not in a suitable format for solving. Please ensure that the differential equation is correctly written and provided in the correct format.

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To solve the differential equation , we first rearrange the terms:
This simplifies to:
Thus, we have:
Now, we can separate variables:
Next, integrate both sides with respect to :
The first integral gives , and for the integral of , we can use integration by parts, letting and . This yields:
Combining everything, we have:
Which simplifies to:
So, the solution is:

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