dy/dx= 3x^3y

Solve the differential equation. Write the answer as an explicit solution (i.e. solve for the dependent variable).

Question

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

anonymous · Answer

it is $$3x ^{3}*y$$

anonymous · Answer

u sure abt the power 3x^3y..i dont think i hv seen something like that before

parthkohli · Answer

$${dy \over dx} = 3x^{\large3}y$$Actually, that's the question for everyone's clarification.

anonymous · Answer

ans is ln(y)= 3x^4/4 +c

anonymous · Answer

ryt

anonymous · Answer

$$\frac{ dy }{ y} =   { x ^{3}dx}$$

anonymous · Answer

yes integrate that and u get what i posted

anonymous · Answer

give me a medal psk if the ans is ryt :)'

anonymous · Answer

http://openstudy.com/code-of-conduct

anonymous · Answer

r u moderator

anonymous · Answer

no u?

anonymous · Answer

$$\frac{dy}{dx}  =3x^{3}  y => \frac{dy}{y}  =3x^3dx => \int\limits\frac{dy}{y}  =\int\limits3x^{3}dx   => \ln(y)=\frac{3x^{4}}{4}  +C$$
i think you have to find the analytical solution next

anonymous · Answer

dy/dx= 3x^(3)*y 
3.3x2.
how about y??

anonymous · Answer

then if i take ln of both sides i should get the whole right side in exponent form??