How to integrate this equation?

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  • #1
SantiagoCR
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TL;DR Summary
calculate integral of a differential equation
Hello,

can someone help me to solve the following differential equation analitically:

$$\frac{2 y''}{y'} - \frac{y'}{y} = \frac{x'}{x}$$

where ##y = y(t)## and ##x = x(t)##

br

Santiago
 
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  • #2
Hint: $$\frac{2y''}{y'}=2\log\left(y'\right)',\quad\frac{y'}{y}=\log\left(y\right)',\quad\frac{x'}{x}=\log\left(x\right)'$$
 
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Likes Kumail Haider, SantiagoCR, Frabjous and 1 other person
  • #3
renormalize said:
Hint: $$\frac{2y''}{y'}=2\log\left(y'\right)',\quad\frac{y'}{y}=\log\left(y\right)',\quad\frac{x'}{x}=\log\left(x\right)'$$
cool, thank you very much!
 

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