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

1. anonymous

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

2. anonymous

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

3. ParthKohli

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

4. anonymous

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

5. anonymous

ryt

6. anonymous

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

7. anonymous

yes integrate that and u get what i posted

8. anonymous

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

9. anonymous
10. anonymous

r u moderator

11. anonymous

no u?

12. anonymous

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

13. anonymous

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

14. anonymous

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