Solving Differential Equation (t+2)dx=2x^{2}dt

untchick04tm 2022-01-21 Answered
Solving Differential Equation
(t+2)dx=2x2dt
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servidopolisxv
Answered 2022-01-21 Author has 27 answers
First I divide both sides by t+2 to get:
dx=2x2t+2dt
Then, divide by 2x2 to get:
dx2x2=dtt+2
This will end up to:
12x2dx=dtt+2
From now on I am not sure how to continue! I ended up having this equation:
15x3=ln(t+2)+c
I need to find x(t) now. Can somone help please?
This is how I got 15x3: I said because 12x2dx is 12x2 isnt it right?

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Linda Birchfield
Answered 2022-01-22 Author has 39 answers
Note the first: When you divide by 2x2, you have to be careful. Im

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RizerMix
Answered 2022-01-27 Author has 438 answers
Its

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