-
Notifications
You must be signed in to change notification settings - Fork 7
/
differential equation
65 lines (49 loc) · 1.15 KB
/
differential equation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
#include <stdio.h>
#include <conio.h>
#include <math.h>
float poly(float a[], int, float);
float deriv(float a[], int, float);
int main()
{
float x, a[10], y1, dy1;
int deg, i;
printf("Enter the degree of polynomial equation: ");
scanf("%d", °);
printf("Ehter the value of x for which the equation is to be evaluated: ");
scanf("%f", &x);
for(i=0;i<=deg;i++)
{
printf("Enter the coefficient of x to the power %d: ",i);
scanf("%f",&a[i]);
}
y1 = poly(a, deg, x);
dy1 = deriv(a, deg, x);
printf("The value of polynomial equation for the value of x = %.2f is: %.2f",x,y1);
printf("\nThe value of the derivative of the polynomial equation at x = %.2f is: %.2f",x,dy1);
return 0;
}
/* function for finding the value of polynomial at some value of x */
float poly(float a[], int deg, float x)
{
float p;
int i;
p = a[deg];
for(i=deg;i>=1;i--)
{
p = (a[i-1] + x*p);
}
return p;
}
/* function for finding the derivative at some value of x */
float deriv(float a[], int deg, float x)
{
float d[10], pd = 0, ps;
int i;
for(i=0;i<=deg;i++)
{
ps = pow(x, deg-(i+1));
d[i] = (deg-i)*a[deg-i]*ps;
pd = pd + d[i];
}
return pd;
}