Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Differential equation problem?
I believe I have the right answer but would like to check. I am given the equation f "(x) = 5cosx + 2sinx subject to f(0) = 3 and f '(0) = 4.
I took the first and second integrals and found f '(x) and f(x). Are the correct C values 6 and 8?
cool.
2 Answers
- No MythologyLv 71 decade agoFavorite Answer
f'(x) = 5sin(x) - 2cos(x) + C, f'(0) = 4 ==> C = 6
f(x) = -5cos(x) - 2sin(x) + 6x + D, f(0) = 3 ==> D = 8.
Looks like your answers are correct.
- ?Lv 41 decade ago
f "(x) = 5cosx + 2sinx
integrate 5cosx+2sinx dx
f'(x)=5sinx-2cosx + C
f'(0)=4
5sinx-2cosx+C=4
-2+C=4
C=6
integrate 5sinx-2cosx + 6 dx
-5cosx-2sinx+ 6x+ K
f(0)=3
-5+K=3
K=8
yeah u r write