# How to integrate this equation?

• A
• SantiagoCR
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SantiagoCR
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

Hint: $$\frac{2y''}{y'}=2\log\left(y'\right)',\quad\frac{y'}{y}=\log\left(y\right)',\quad\frac{x'}{x}=\log\left(x\right)'$$

Kumail Haider, SantiagoCR, Frabjous and 1 other person
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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