Question:

Find if satisfies

and the -intercept of the curve is .

?

My work:

dy/dx = 12yx^3, y(0) = 6

integral 1/(12y) dy = integral x^3 dx

1/12 * ln|y| = e^(1/4 * x^4) + C

y^(1/12) = e^(1/4 * x^4) + C

y = e^(3x^4) + C

6 = e^0 + C

C = 5

y = e^(3x^4) + 5

What am I doing wrong?

Any help would be greatly appreciated!

Thanks in advance!