Solve the differential equation$$\frac{dy}{dx} = 4 x^2 y^2$$with the condition that $y( 2) = 4$

Question

turingtest · Answer

please do not close and repost the same question

anonymous · Answer

@fazeer , you are forgetting \ [ \] (without the space :-) )

anonymous · Answer

i am getting 4x^3y^2/3 + c

anonymous · Answer

it bumped me out

turingtest · Answer

bumped you out?
only you or a moderator can close your Q, and I didn't do it o-0

turingtest · Answer

anyway, did I fix your post correctly?

turingtest · Answer

...

anonymous · Answer

what is the answer plz

turingtest · Answer

did I type it right?

anonymous · Answer

????

turingtest · Answer

is this a language problem we are having here?

I'm trying to make sure I typed your problem right

if I did the equation is separable and all you need to do is get like terms together and integrate

turingtest · Answer

...then apple the initial conditions to find the value of the integration constant C

anonymous · Answer

can you give me the answer, its not 4x^3y^2/3

anonymous · Answer

$$ \frac{dy}{dx} = 4x^2y^2 \implies \frac{dy}{y^2} = 4x^2 dx$$Integrate both sides. Your answer is wrong.

turingtest · Answer

and no we cannot just give you the answer, that is against the code of conduct of this site.

I'm pretty surprised to see a differential equation student who's not familiar with wolfram though

turingtest · Answer

though I guess they give you these problems in basic calc sometimes....

anonymous · Answer

Can you integrate dy/ y^2 ?