A Differential Equation with Euler's Number

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Awesome content my man I have physics degree but but I m maths person I love your video's specialty the summation of infinite series

anandnishad
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Can you please tell how to solve
2a=2^(a-1)
I found a solution by intuition but couldn't find a mathematical solution
Please help🙏

ospro
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regarding the integral with respect to y, shouldn't it also have some constant?

abiding
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wouldnt ln cancel out the e on the right side too

mel-krxu
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However, can’t you rewrite c as ln(c) since the range is the same. Then using properties of logs, rewrite the right side to ln(cx) and when you raise e to both sides you get that y = cx

anishdeshpande
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There's anybody can explain why that in y sides is doesn't add + c too like in x side?

adheanandas
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Matemática já é dificil, imagina em ingles😂😂

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