Let yı(x) and y2(x) be two solutions of (1-x²)-2x dx² Wronskian W(x). dy If y, (0)=1, dx x=0 = 0 and W - then dy₂ dx x=0 dy dx + secx.y=0 with equals

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A: SOLUTION:  Let T=ab: ab∈ℚ,a and b are relatively prime and 5 does not divide b   We  have  show…

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A: Given differential equation is 2y''' + 3y'' - 3y' - 2y = e-t,  y(0) = 0, y'(0) = 0, y''(0) = 1 As we…

Q: Given the following sets of data: y 1.90 1.50 1.20 1.00 0.80 0.78 0.65 0.46 0.30 0.23 0.50 1.00 1.30…

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A: Given, x1' = 3x1+4x2 x2' = 3x1+2x2 x1(0) = 1 x2(0) = 1

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Q: Principal: $15,500 Interest rate: 6% Compounded quarterly Calculate the effective rate (APY) of…

A: Compound interest formula A=P1+rnnt We are given where rn is APY P=$15500r=6%=0.06n=4t=1

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Q: 46 −1 [2 1 п л

A: Here we have to find the inverse of the matrix using gauss jordan method.

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A: Given: A function gt=0,0<t<45,4<t<54,5<t<73,t>7. To Find: Express gt using the…

Q: 3 = [2 +21 Verify Properties (vi) and (viii) in showing C²x2 is a 2+2i 4+i Let c₁= 21, C₂ = 1 + 2i,…

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Q: ty" + 3ty + y = 0, t> 0; a) Is y₁ (t) = = a solution of the given differential equation? In b) Is y₂…

A: We have  t2y''+3ty'+y=0, t>0 If y1 is a solution of the above DE then it must satisfy the DE.

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Q: Let V be the vector space of functions spanned by B = {b₁ = 2 sin x + 9 cos x, b₂ = 4 sin x + 7 cos…

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Q: Give the Laplace transform of the solution to a) (s)-- (+2) (-4). 25 (3+2)(²+25) b) (³) (-2) (5-4) 4…

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Q: Exercise 3.4.104: Solve x₁ = x2, x = -x1 using the eigenvalue method.

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Q: GREMOS Give alinear stabilty analysis of the function for the follow and drow phote port not for…

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Q: Suppose {n} is a sequence of functions, differentiable on [a, b] and such that {fn (xo)} converges…

A: Given information: fn is a sequence of functions, differentiable on a,b fn converges pointwise on…

Q: If R is a field, show that R Frac(R) . More precisely, show that the homomorphism 6: R→ Frac(R) ,…

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Q: Use the Laplace transform to solve: y" + 16y=t, y(0) = 1, y'(0) = -1

A: Given: y''+16y=t, y0=1, y'0=-1 We have to the given differential equation using Laplace transform.

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Q: Solve the initial value problem. y' +12y = 1, y(0)=1 y= (Type an expression using t as the…

A: The given differential equation is, y'+12y=1. Condition y(0)=1. To find: Solve the initial value…

Q: 58e8 42 +10e8t' Find the set of real numbers t for which S(t) converges. Write your answer in…

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Q: 1. Find gradient for the function (x, y, z) = log (x² + y² + z²) at the point (1, 2, 1).

A: Multiple questions are posted. So I will solve the first question for you and repost the remaining…