Find the determinant by row reduction to echelon form. 2 2 -2 9 10 - 10 6 9. 15 Use row operations to reduce the matrix to echelon form. 2 2 - 2 9 10 - 10 -6 9 15

Q: 2. Find the value of w and z where x=3 and y=4. Use the MATLAB to evaluate the followin expression. ...

A: clcclear close allx=3;y=4;f=@(x,y)((x^2-y^3)/(x-y)^2);g=@(x,y)(2/(y^2*(x+y)^2));c=f(3,4);d=g(3,2);

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Q: 5. Solve the initial value problem -):) + ("). (29) - 6) d x1 -3 1 X1 dt 1 x2(0), x2

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Q: You have just received $135,000 from the estate of a long-lost rich uncle. If you invest all your in...

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Q: Q.1 Put the D.E ey"+2xy' + ây = 0, in self-adjoin form .

A: Given the differential equation e-xy"+2xy'+λy=0 we have to put the given differential equation in se...

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Q: • TT /2 2 cos x dx 1+ (sin x)² п/2 dx V-x² + 4x – 3 2

A: d) ∫-π2π2  2cosx dx1+ (sinx)2Let sinx = t∫-11 2dt1+t2 = 2  [tan-1t]-11 = 2 [ π4+ π4]= π

Q: The differential equation x- ди ди 2u satisfying the initial condition y = xg(x). +y %3D ty u = f(x)...

A: 2)     x∂u∂x+y ∂u∂y = 2uΓ:[ x, xg(x), f(x) ]1)[x,x,2x]Pdx0dt = Qd y0dt = Rd z0dt⇒P =x,  Q = x,  R = ...

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Q: Problem 18. Show that dz < 2ne? 1/31 +3

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A: This is a problem of series. Taylor expansion, power series.

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Q: 4. Find the value of o(5) for a solution ø(x) to the initial value problem: y' – 3y" + 4y' – 2y = 0;...

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Q: za z = e

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A: Ratio test: Let ∑n=0∞an  be a series with non zero terms: let ρ=limn→∞an+1an (I) if 0≤ρ&lt;1  then∑n...

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A: Given that  Ax2+Bx+Cxx2+1+Dx2+1 i.e. Ax2+1+Bxx2+1+Cx3+Dx2x2x2+1 i.e. Ax2+1+Bxx2+1+Cx3+Dx2x4+x2 i.e. ...

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Q: 2. K-5InX+3 find dw dr dw

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Q: Find y as a function of t if 64y" + 144y' + 106y = 0, y(0) = 8, y' (0) = 3. y =

A: Given DE is  64y''+144y'+106y=0.....(1) Initial conditions are  y(0)=8,y'(0)=3......(2)