39 lines
629 B
Plaintext
39 lines
629 B
Plaintext
1)
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x=var('x')
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solve (x^6-9*x^5+10*x^4+18*x^3+49*x^2+135*x+84==0,x)
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2)
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x=var('x')
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solve (x^3-5* x^2+8* x-40==0, x)
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3)
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x=var('x')
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solve(cos(x)==x,x)
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find_root(cos(x)==x,0,pi)
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4)
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integral(x*sin(x),x)
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-x*cos(x) + sin(x)
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5)
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integral(e^(1/(x^2)),x,-2,4)
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6)
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diff(sqrt(x^2*sin(x+2)),x)
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7)
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diff((x*e^(cos(x)))^(3),x)
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8)
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x,y=var('x,y')
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f=x^2+sin(x*y)-y
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f.diff(y)
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9)
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A=matrix([[1,-4,7],[14,6,8],[-4,-1,2]]);A
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B=matrix([[2,3,9],[-1,17,6],[0,5,-7]]);B
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A*B
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10)
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A.determinant()
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11)
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B^(-1)
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12)
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x=var('x')
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u=function('u')(x)
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show(desolve(diff(u,x,2)-x*diff(u,x)+u==0,u,contrib_ode=True,show_method=True))
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