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⇤ ← Revision 1 as of 2010-12-16 08:53:15
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← Revision 2 as of 2010-12-18 07:42:32 ⇥
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| Deletions are marked like this. | Additions are marked like this. |
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| x=var('x') y=var('y') |
var('x,y,z,f1,f2,t') f1 = y**2-7*y u=diff(f1,y,1) f2(x,y) = 2*x*y+2*x v=diff(f2,x,1) integrate((v-u), (x,0,pi)) /* Verification of Greens theorem */ f1 = y**2-7*y f3=f1(sin(t)) f2= 2*x*y+2*x f4=f2(cos(t),sin(t)) |
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| f1=y*y-7*y f2=2*x*y+2*x y1=diff(y,t,1) x1=diff(x,t,1) f1=x*y1 f2=y*x1 c=f1-f2 d=integrate(c,(t,0,2*pi)) |
x1=diff(x) y1=diff(y) integrate((f3*x1)+(f4*y1),(t,0,2*pi)) code_ends * |
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| * triveni.k , student, pec * sivalatha.k , student, pec * srija.n ,student, pec |
* divya , student, pec * sneha , student, pec |
Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
var('x,y,z,f1,f2,t')
f1 = y**2-7*y
u=diff(f1,y,1)
f2(x,y) = 2*x*y+2*x
v=diff(f2,x,1)
integrate((v-u), (x,0,pi))
/* Verification of Greens theorem */
f1 = y**2-7*y
f3=f1(sin(t))
f2= 2*x*y+2*x
f4=f2(cos(t),sin(t))
x=cos(t)
y=sin(t)
x1=diff(x)
y1=diff(y)
integrate((f3*x1)+(f4*y1),(t,0,2*pi))
code_ends
*
Solution by:
- divya , student, pec
- sneha , student, pec