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RolyPoly
 2 years ago
\[y' = x^3 (1y)\]
RolyPoly
 2 years ago
\[y' = x^3 (1y)\]

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cnknd
 2 years ago
Best ResponseYou've already chosen the best response.1this is easily separable...

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0\[y' = x^3(1y)\]\[\frac{dy}{1y} = x^3 dx\]\[\ln 1y = \frac{1}{4}x^4+C\]So far so good?

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0lol I know, the whole chapter I'm doing now is separable.

cnknd
 2 years ago
Best ResponseYou've already chosen the best response.1ugh... check ur right hand side

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0Right hand side? \[x^3 dx\]?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1i think its fine here u can isolate y easily.

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0If it's fine, then I continue.. y(0) = 3 \[\ln 13 = \frac{1}{4}(0)^4+C\]\[\ln 2 = C\] So far so good?

cnknd
 2 years ago
Best ResponseYou've already chosen the best response.1ok x^2 does not integrate to 1/4*x^4

cnknd
 2 years ago
Best ResponseYou've already chosen the best response.1but C would still be ln2

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0So, \[\ln 1y = \frac{1}{4}(x)^4\ln 2\]\[\ln2\ln 1y = \frac{1}{4}(x)^4\]\[\ln\frac{2}{1y} = \frac{1}{4}(x)^4\]\[\frac{2}{1y} = e^{\frac{x^4}{4}}\]\[2= ({1y} )e^{\frac{x^4}{4}}\]\[y = \frac{e^{\frac{x^4}{4}}2}{\frace^{\frac{x^4}{4}}}{

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry, please ignore the last line. OS just freezed my page.

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0But that doesn't look good at al..

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1better to do this \( \ln2+\ln 1y = \frac{1}{4}(x)^4\)

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0\[\ln2+\ln 1y = \frac{1}{4}x^4\]\[\frac{1y}{2}=e^{\frac{x^4}{4}}\]\[1y=2e^{\frac{x^4}{4}}\]\[y=12e^{\frac{x^4}{4}}\]

RolyPoly
 2 years ago
Best ResponseYou've already chosen the best response.0Oh!! \[e^{\frac{x^4}{4}}\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1everything else is correct

cnknd
 2 years ago
Best ResponseYou've already chosen the best response.1\[\ln \left 1y \right = \frac{ 1 }{ 3 }x ^{3} + \ln2\] \[\left 1y \right = 2e^{\frac{ x ^{3} }{ 3 }}\] then you have to solve the absolute value part which gives u a piecewise function (this is a pain in the retrice

cnknd
 2 years ago
Best ResponseYou've already chosen the best response.1lol i like how they censor inappropriate words
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