D.( 25 pts) Find the general solution of the ODE y" + 2y + y = ex ln(x), x> 0.

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A: Handwritten solution provided.Explanation:Step 1:Step 2:Step 3: Step 4:

Q: No answer from Chat GPT will dislike. Hand written solution is not allowed.

A: Approach to solving the question:For better clarity of the solution, I have provided the calculation…

Q: 6. 5. Let's consider the absolute series of terms of the absolute series: 7. Is LM8 n=1 (-1)-1 7+2n…

A:

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where no symbol is repeated.

A:

Q: Show all the work

A: ∙  A=⎣⎢⎡​5−13​217​⎦⎥⎤​∙  T([−26​])=⎣⎢⎡​2836​⎦⎥⎤​Explanation:Given: ∙  T(e1​)=⎣⎢⎡​5−13​⎦⎥⎤​∙…

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A: [2].

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Q: lim -18 +n п

A: We will find the value of the limit.

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A: Given Using Laplace transformation we have to solve the integral equation.

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A: The plane equation is :

Q: Solve for x: 74x-393-9

A:

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A: Final Solutiona)Eigen values  -λ1=1,λ2=1    Eigen Vectors=e1=(21​)   and e2=(01​) b)Since both…

Q: (2) Give a spanning set for Im(TA). (3) Give a Cartesian (system of) equation(s) for Im(TA). w= [14]…

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Q: Nitin

A: We have to borrow $125,366.84Explanation:

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Q: If ​$100 is invested at 77​% compounded   ​(A) annually, ​ (B) quarterly, ​ (C) monthly,   what is…

A: The objective of the question is to calculate the future value of an investment of $100 compounded…

Q: (a) A: va+v. (b) A: (av). (c) A: √ av.

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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A: Step 1: Step 2: Step 3: Step 4:

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A: (a), (b) , (c), (d)  are subspaces .

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A:

Q: Determine if the series is convergent or divergent by using Comparison Test 1+2h مم h=1 h²+2h

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A: we shall make use of lagranges theorem and group actions

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A: Solution Explanation:

Q: Apply the Inverse Matrix theorem to find the inverse A matrix. of the given -5 -4 4 1 5 -3 5 -3 1…

A: Step 1:Step 2:Step 3:

Q: : Assume f [a, b] R is continuous and f(x) > 0 for all Є [a, b]. Prove that if So fdx = 0, then f(x)…

A:

Q: Consider the transition matrix 0.7 0.3 0.1 P=0.2 1 10 0.3 0.1 25 45 Find the steady state vector: 18…

A: The steady state vector is  x=⎣⎢⎡​31​61​21​​⎦⎥⎤​Explanation:

Q: 3. Write each function in terms of unit step functions. Then, find the Laplace transform. -2 0π

A: a.) Unit Step Function: f(t) = -2u(t) + 2u(t - 3) + (t-4)u(t-3)     Laplace Transform:…