31 lines
636 B
Plaintext
31 lines
636 B
Plaintext
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#solve equations
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var('x','y','u')
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A=x^6-9*x^5+10*x^4+18*x^3+49*x^2+135*x+84;A
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solve([A==0],[x])
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B=x^3-5*x^2+8*x-40;B
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solve([B==0],[x])
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C=cos(x);C
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find_root(C==x,0,pi)
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#Find
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D=x/sin(x);D
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integral(D,x)
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E=e^(1/x^2);E
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integral(E,(x,2,4))
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F=sqrt((x^2)/sin(x+2));F
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diff(F,x)
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G=(x*e^(cos(x)))^3;G
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diff(G,x)
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H=x^2+sin(x*y)-y;H
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diff(H,y)
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#Solve equation \frac{d^2 u}{dx^2}-x\frac{du}{dx}+u=0
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u=function('u')(x)
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de=diff(u,x,2)-x*diff(u,x,1)+u==0
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desolve(de,u,contrib_ode=True)
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#Find product of matrices A and B
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I=matrix([[1,-4,7],[14,6,8],[-4,-1,2]]);I
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J=matrix([[2,3,9],[-1,17,6],[0,5,-7]]);J
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I.det()
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J.inverse()
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