# general solution of differential equation

• Jun 9th 2012, 05:02 AM
Tweety
general solution of differential equation
$\frac{dy}{dx} = x(1-x)$

$dy = x(1-x) dx$

$dy = x-x^{2} dx$

$\int dy = \int x-x^{2} dx$

is this so far correct? cuse my book gives me a solution like this $\int \frac{1}{x(1-x)} = \int dy$

And i have no idea how they got this?
• Jun 9th 2012, 06:50 AM
HallsofIvy
Re: general solution of differential equation
what you have written is correct. But are you sure you have copied the problem correctly? If the problem were
$\frac{dy}{dx}= y- y^2$ then you would have $\int\frac{dy}{y- y^2}= \int dx$.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9674440622329712, "perplexity": 716.2331181915036}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-04/segments/1484560281151.11/warc/CC-MAIN-20170116095121-00491-ip-10-171-10-70.ec2.internal.warc.gz"}