Question: How to get an explicit answer

Why i cant get a final answer?

phi := -(1/2)*x^2+2*cos((3.14*(1/20))*x)*(c__1*cosh((3.14*(1/20))*y)+c__2*sinh((3.14*(1/20))*y)+c__3*y*cosh((3.14*(1/20))*y)+c__4*y*sinh((3.14*(1/20))*y));

-(1/2)*x^2+2*cos(.1570000000*x)*(c__1*cosh(.1570000000*y)+c__2*sinh(.1570000000*y)+c__3*y*cosh(.1570000000*y)+c__4*y*sinh(.1570000000*y))

(1)

diff(phi, x, x);``

 

-1-0.4929800000e-1*cos(.1570000000*x)*(c__1*cosh(.1570000000*y)+c__2*sinh(.1570000000*y)+c__3*y*cosh(.1570000000*y)+c__4*y*sinh(.1570000000*y))

(2)

-1-0.4929800000e-1*cos(.1570000000*x)*(c__1*cosh(.1570000000*y)+c__2*sinh(.1570000000*y)+c__3*y*cosh(.1570000000*y)+c__4*y*sinh(.1570000000*y)) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0)

-1-0.4929800000e-1*cos(.1570000000*x)*(`#msub(mi("c"),mi("1"))`*cosh(.1570000000*y)+`#msub(mi("c"),mi("2"))`*sinh(.1570000000*y)+`#msub(mi("c"),mi("3"))`*y*cosh(.1570000000*y)+`#msub(mi("c"),mi("4"))`*y*sinh(.1570000000*y)) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0)

(3)

eval(-1-0.4929800000e-1*cos(.1570000000*x)*(c__1*cosh(.1570000000*y)+c__2*sinh(.1570000000*y)+c__3*y*cosh(.1570000000*y)+c__4*y*sinh(.1570000000*y)) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0), y = .75);

-1-0.4929800000e-1*cos(.1570000000*x)*(1.006940545*`#msub(mi("c"),mi("1"))`+.1180222905*`#msub(mi("c"),mi("2"))`+.7552054088*`#msub(mi("c"),mi("3"))`+0.8851671788e-1*`#msub(mi("c"),mi("4"))`) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0)

(4)

eval(-1-0.4929800000e-1*cos(.1570000000*x)*(c__1*cosh(.1570000000*y)+c__2*sinh(.1570000000*y)+c__3*y*cosh(.1570000000*y)+c__4*y*sinh(.1570000000*y)) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0), y = -.75);

-1-0.4929800000e-1*cos(.1570000000*x)*(1.006940545*`#msub(mi("c"),mi("1"))`-.1180222905*`#msub(mi("c"),mi("2"))`-.7552054088*`#msub(mi("c"),mi("3"))`+0.8851671788e-1*`#msub(mi("c"),mi("4"))`) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0)

(5)

NULL

diff(-phi, x, y);

.3140000000*sin(.1570000000*x)*(.1570000000*c__1*sinh(.1570000000*y)+.1570000000*c__2*cosh(.1570000000*y)+c__3*cosh(.1570000000*y)+.1570000000*c__3*y*sinh(.1570000000*y)+c__4*sinh(.1570000000*y)+.1570000000*c__4*y*cosh(.1570000000*y))

(6)

eval(.3140000000*sin(.1570000000*x)*(.1570000000*c__1*sinh(.1570000000*y)+.1570000000*c__2*cosh(.1570000000*y)+c__3*cosh(.1570000000*y)+.1570000000*c__3*y*sinh(.1570000000*y)+c__4*sinh(.1570000000*y)+.1570000000*c__4*y*cosh(.1570000000*y)), y = -.75);

.3140000000*sin(.1570000000*x)*(-0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3-.2365895397*c__4)

(7)

.3140000000*sin(.1570000000*x)*(-0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3-.2365895397*c__4) = 0;

.3140000000*sin(.1570000000*x)*(-0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3-.2365895397*c__4) = 0

(8)

eval(.3140000000*sin(.1570000000*x)*(.1570000000*c__1*sinh(.1570000000*y)+.1570000000*c__2*cosh(.1570000000*y)+c__3*cosh(.1570000000*y)+.1570000000*c__3*y*sinh(.1570000000*y)+c__4*sinh(.1570000000*y)+.1570000000*c__4*y*cosh(.1570000000*y)), y = .75);

.3140000000*sin(.1570000000*x)*(0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3+.2365895397*c__4)

(9)

.3140000000*sin(.1570000000*x)*(0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3+.2365895397*c__4) = 0;

.3140000000*sin(.1570000000*x)*(0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3+.2365895397*c__4) = 0

(10)

s := solve({.3140000000*sin(.1570000000*x)*(-0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3-.2365895397*c__4) = 0, .3140000000*sin(.1570000000*x)*(0.1852949961e-1*c__1+.1580896656*c__2+1.020837670*c__3+.2365895397*c__4) = 0, -1-0.4929800000e-1*cos(.1570000000*x)*(1.006940545*c__1-.1180222905*c__2-.7552054088*c__3+0.8851671788e-1*c__4) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0), -1-0.4929800000e-1*cos(.1570000000*x)*(1.006940545*c__1+.1180222905*c__2+.7552054088*c__3+0.8851671788e-1*c__4) = piecewise(-5 < x and x < 5, -1, -10 < x and x < -5, 5 < x and x < 10, 0)}, {c__1, c__2, c__3, c__4});

{`#msub(mi("c"),mi("1"))` = -(20.28463654*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))/cos(.1570000000*x), `#msub(mi("c"),mi("2"))` = 0., `#msub(mi("c"),mi("3"))` = 0., `#msub(mi("c"),mi("4"))` = (1.588676174*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))/cos(.1570000000*x)}

(11)

phi1 := subs({c__1 = -20.28463654*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.)/cos(.1570000000*x), c__2 = 0., c__3 = 0., c__4 = 1.588676174*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.)/cos(.1570000000*x)}, phi);

-(1/2)*x^2+2*cos(.1570000000*x)*(-(20.28463654*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*cosh(.1570000000*y)/cos(.1570000000*x)+(1.588676174*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*y*sinh(.1570000000*y)/cos(.1570000000*x))

(12)

syy1 := diff(phi1, x, x);

-1-0.4929800000e-1*cos(.1570000000*x)*(-(20.28463654*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*cosh(.1570000000*y)/cos(.1570000000*x)+(1.588676174*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*y*sinh(.1570000000*y)/cos(.1570000000*x))-.6280000000*sin(.1570000000*x)*(-20.28463654*(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x))*cosh(.1570000000*y)/cos(.1570000000*x)-(3.184687937*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*cosh(.1570000000*y)*sin(.1570000000*x)/cos(.1570000000*x)^2+1.588676174*(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x))*y*sinh(.1570000000*y)/cos(.1570000000*x)+(.2494221593*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*y*sinh(.1570000000*y)*sin(.1570000000*x)/cos(.1570000000*x)^2)+2*cos(.1570000000*x)*(-20.28463654*(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x, x))*cosh(.1570000000*y)/cos(.1570000000*x)-6.369375874*(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x))*cosh(.1570000000*y)*sin(.1570000000*x)/cos(.1570000000*x)^2-(.9999920122*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*cosh(.1570000000*y)*sin(.1570000000*x)^2/cos(.1570000000*x)^3-(.4999960061*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*cosh(.1570000000*y)/cos(.1570000000*x)+1.588676174*(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x, x))*y*sinh(.1570000000*y)/cos(.1570000000*x)+.4988443186*(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x))*y*sinh(.1570000000*y)*sin(.1570000000*x)/cos(.1570000000*x)^2+(0.7831855802e-1*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*y*sinh(.1570000000*y)*sin(.1570000000*x)^2/cos(.1570000000*x)^3+(0.3915927901e-1*(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.)+1.))*y*sinh(.1570000000*y)/cos(.1570000000*x))

(13)

"(->)"

-1.-2.*10^(-9)*(eval(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x), x = 1))-40.56959712*(eval(diff(piecewise(-5. < x and x < 5., -1., -10. < x and x < -5., 5. < x and x < 10., 0.), x, x), x = 1))

(14)

``

 

Download case5analytic.mw

Please Wait...