Really stuck on this question...
can somebody please show me the steps?

find the general solution of this differential equation...

dy/dx= 3x^4

Thanks

Question

Really stuck on this question...
can somebody please show me the steps?

find the general solution of this differential equation...

dy/dx= 3x^4

Thanks

mr.math · Answer

Do you know integration or antiderivatives?

dumbcow · Answer

move the dx to other side, then integrate both sides

anonymous · Answer

i know that the general formula is ;
$$y=\int\limits_{?}^{?}f(x)dx=gx+c$$

but not sure how to apply it ?

mr.math · Answer

In our case, you should have:
$$y=\int 3x^4dx=\dots$$

anonymous · Answer

how did you get from this...$$\int\limits_{?}^{?}dy=\int\limits_{?}^{?}dx/3x ^{4}$$
to your solution?

anonymous · Answer

ohh right you just plugged it into the formula?

anonymous · Answer

the final answer says its ...
y=$$y=3/5x^5+c$$

:s

anonymous · Answer

@ dumbcow think i got it! :D

mr.math · Answer

Correct!