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#### Dhamnekar Winod

##### Active member

- Nov 17, 2018

- 149

I want to solve $\d{y}{x}=\frac{3*(2x-7y)+6}{2*(2x-7y)-3}.$ I don't know its step by step solution. But using some trick of solving ordinary differential equation (which I saw on the Internet), I got the following solution:-

$-\frac{17}{21}*(3x-2y)+ln(119y-34x-48)=C$. Now how to solve this answer for y(x)?

I also want to know its step by step solution.

If any member knows the correct answer, he/she may reply with correct answer. Your Wolfram Alpha DiffEq calculator gives this answer

$y(x)=\frac{21}{34}\big(W\big(-e^{(289*x)/147+c_1-1} \big)+1\big)+\frac{4*x-3}{14}$

I don't understand how to verify my answer and (1) are equivalent or not?

$-\frac{17}{21}*(3x-2y)+ln(119y-34x-48)=C$. Now how to solve this answer for y(x)?

I also want to know its step by step solution.

If any member knows the correct answer, he/she may reply with correct answer. Your Wolfram Alpha DiffEq calculator gives this answer

$y(x)=\frac{21}{34}\big(W\big(-e^{(289*x)/147+c_1-1} \big)+1\big)+\frac{4*x-3}{14}$

I don't understand how to verify my answer and (1) are equivalent or not?

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