2007-02-28 03:30:01 · 4 answers · asked by goring 6 in Science & Mathematics ➔ Mathematics
By being given boundary conditions.
eg may be told that y = 20 when x = 2.
Therefore if a solution has
y = 2x² - 2x + C
20 = 8 - 4 + C
20 = 4 + C
C = 16 (constant of integration has been found)
2007-02-28 03:45:38 · answer #1 · answered by Como 7 · 1⤊ 0⤋
It can't unless you are given some info that helps you calculate.
Ex.: Find f(x) if f'(x)=2x + 1.
Answer: f(x) = x² + x + C. You don't know a thing about C.
Ex.: Find f(x) if f'(x)=2x + 1 and f(1) = 4.
Answer: f(x) = x² + x + 2. You find this out by plugging the given value f(1)=4 in the equation f(x) = x² + x + C.
2007-02-28 11:34:51 · answer #2 · answered by Anonymous · 0⤊ 1⤋
The constant C denotes that the solution is a family of functions having the same derivative and differ in a constant.
2007-02-28 11:44:37 · answer #3 · answered by Amit Y 5 · 0⤊ 1⤋
if we given a pt on the curve then we can substitute the values of 'x' and 'y' to find 'c'
2007-02-28 11:35:51 · answer #4 · answered by Maths Rocks 4 · 0⤊ 1⤋