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

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

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

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

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

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

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

Omniscience
 2 years ago
Best 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

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

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