527solns6_maple

# 527solns6_maple - S etup Section 7.2 problem 5(c f:= x^2y^2...

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Setup Section 7.2, problem 5(c) f := x^2-y^2: p1 := contourplot(f,x=-3..3,y=-3..3,contours=10): p2 := contourplot(f,x=-3..3,y=-3..3,contours=[0]): display({p1,p2});

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Section 7.2, problem 10 f := 2*y^2-3*x^3: p1 := contourplot(f,x=-3..3,y=-3..3,contours=20): p2 := contourplot(f,x=-3..3,y=-3..3,contours=[0],grid=[300, 300]): display({p1,p2});
Section 7.3, problem 1 (h) plot([1/x,x+Pi,x-Pi,x+3*Pi,x-3*Pi,x+5*Pi],x=-10..10,y=-10. .20, color=[RED,BLUE,BLUE,BLUE,BLUE,BLUE]);

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Section 7.3, problem 9 (a) Problem setup A:=Matrix([[1,1],[4,1]]): Z:=MatrixExponential(A,t): tvals:=t=-4..4: ranges:=x=-2..2,y=-2..2: z11:=Z.<1,2>: z12:=Z.<-1,-2>: z21:=Z.<1,-2>: z22:=Z.<-1,2>: za:=Z.<0,1>: zb:=Z.<-1,-1>: zc:=Z.<0,-2/3>: zd:=Z.<1,1>: ze:=Z.<0,-1>: zf:=Z.<-2/3,-2/3>: VecVar:=<x(t),y(t)>: listVar:=convert(VecVar,’list’): eq:=[diff(VecVar[1],t)=(A.VecVar)[1],diff(VecVar[2],t)=(A. VecVar)[2]]: Field9a:=DEplot(eq,listVar,tvals,ranges,color=GREEN): Sol9a:=plot([ [z11[1],z11[2],tvals], [z12[1],z12[2],tvals], [z21[1],z21[2],tvals], [z22[1],z22[2],tvals], [za[1],za[2],tvals], [zb[1],zb[2],tvals], [zc[1],zc[2],tvals], [zd[1],zd[2],tvals], [ze[1],ze[2],tvals], [zf[1],zf[2],tvals]], ranges,color=[RED,RED,BLUE,BLUE,BLACK,BLACK,BLACK,BLACK, BLACK,BLACK], thickness=2,numpoints=500): Plot display({Field9a,Sol9a});

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Section 7.3, problem 9 (g)
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