Question
find to the nearest integer the value of C that satisfies (y-6)dy=(x+4)/(y-3)dx, y(-1/12)=2
Answers
Steve
(y-6)dy=(x+4)/(y-3)dx
(y^2 - 9y + 18) dy = (x+4) dx
1/3 y^3 - 9/2 y^2 + 18y = 1/2 x^2 + 4x + C
plug in (-1/12,2)
8/3 - 18 + 36 = 1/2 (1/144) + 4 (-1/12) + C
C = 6047/288
That's my final answer, but you'd better check it.
(y^2 - 9y + 18) dy = (x+4) dx
1/3 y^3 - 9/2 y^2 + 18y = 1/2 x^2 + 4x + C
plug in (-1/12,2)
8/3 - 18 + 36 = 1/2 (1/144) + 4 (-1/12) + C
C = 6047/288
That's my final answer, but you'd better check it.
Anonymous
yes cool um didn't really help me but cool way of answering.
Anonymous
hrjetgfauehgth
Jake
what is the integer values of n that satisfies this inequality -5<3n<12?
Please answer :)
Please answer :)
Anonymous
21