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psk981
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dy/dx= 3x^3y
Solve the differential equation. Write the answer as an explicit solution (i.e. solve for the dependent variable).
 2 years ago
 2 years ago
psk981 Group Title
dy/dx= 3x^3y Solve the differential equation. Write the answer as an explicit solution (i.e. solve for the dependent variable).
 2 years ago
 2 years ago

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psk981 Group TitleBest ResponseYou've already chosen the best response.0
it is \[3x ^{3}*y\]
 2 years ago

akash809 Group TitleBest ResponseYou've already chosen the best response.0
u sure abt the power 3x^3y..i dont think i hv seen something like that before
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
\[{dy \over dx} = 3x^{\large3}y\]Actually, that's the question for everyone's clarification.
 2 years ago

akash809 Group TitleBest ResponseYou've already chosen the best response.0
ans is ln(y)= 3x^4/4 +c
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ dy }{ y} = { x ^{3}dx}\]
 2 years ago

akash809 Group TitleBest ResponseYou've already chosen the best response.0
yes integrate that and u get what i posted
 2 years ago

akash809 Group TitleBest ResponseYou've already chosen the best response.0
give me a medal psk if the ans is ryt :)'
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
http://openstudy.com/codeofconduct
 2 years ago

akash809 Group TitleBest ResponseYou've already chosen the best response.0
r u moderator
 2 years ago

Omniscience Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{dy}{dx} =3x^{3} y => \frac{dy}{y} =3x^3dx => \int\limits\frac{dy}{y} =\int\limits3x^{3}dx => \ln(y)=\frac{3x^{4}}{4} +C\] i think you have to find the analytical solution next
 2 years ago

febylailani Group TitleBest ResponseYou've already chosen the best response.0
dy/dx= 3x^(3)*y 3.3x2. how about y??
 2 years ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
then if i take ln of both sides i should get the whole right side in exponent form??
 2 years ago
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