Use the Laplace transform to find the solution of the ODE y" + 4y = f(t), y(0) = 0, /(0) = 0, ere if tñ.

Q: Find f. f"(x) = 48x2 + 2x + 10, f(1) = 1, f'(1) = -5 %3D %3D f(x) = 4x + + 5x2 - 25 71 %3D 3

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Q: please send handwritten solution for Q4

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Q: Choose the Laplace transform of the given function. 6 (t — п) t cos (t) e-TS + T ITS e -Te TS Te T S

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Q: I will buy a new car or a new house if I get a job. I will get a job whenever I study hard. Eith I s...

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Q: the fünction on the closed interval. Use a graphing utility to verify your results. (If an answer do...

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Q: Given: X, + X2 + X3 = 5 X, + 2X, + 2X3 = 6 X, + 2X2 + 3X3 = 8

A: This is a problem of Cholesky's decomposition and linear transformation.

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Q: 130. Express the product Ax as a linear combination of the col- umn vectors of A. 134. 14 (b) 3 0 -1...

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Q: 2. Recall thats min[a, b, c] is the least value among a, b, and c, that is, if a 0. (a) problem. Wr...

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Q: y' = et ; y(0) = 2

A: Given y' = et ; y(0) = 2 As L{y′} = sY(s) − y(0)

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Q: If F = 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = -1. Calculate: a) F×G ze d) :(Fx...

A: Since you have posted a question with multiple sub-parts , we will solve first three sub-parts for y...

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A: To obtain the general solution of the nonhomogeneous differential equation y''+pxy'+qxy=gx, use the ...

Q: Use the Laplace transform to find the solution of the ODE y" + 4y = f(t), y(0) = 0, y(0) = 0, where ...

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Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the p...

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Q: Let f be a function defined on JO, 1[ by : 0, if x is irrațional f (x) ={1/q, if x=p/q; where p and ...

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Q: f (x,Y, z) = xy sin z froy. fyrm egud Show that and

A: To show the given statement. 

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A: Note: We are entitled to solve only one question at a time. As the question number is not mentioned....

Q: 2. y(x*e*y - y)dx + x(y+x³e*)dy = 0 3. 2x y' = y(3x*+y²) 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0;...

A: Integrating factor and solution of differential equation

Q: Find a particular solution to the differential equation. x(t)”-4x’(t)+4x(t)=te^(2t)

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Q: What valus e a, b,c,d that that mwhe this -1 3. 3. - 5 5 4 consitents A xx B . ---~

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Q: əz * əy? ax2 ar? r ar 32. Show that the Laplacian operator a/Əx² + a²/ay² + a /az? in three dimensio...

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Q: (А- B) -С%3D (А-С) -В

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

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Q: Find the Inverse Laplace Transform of

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: Consider the center of mass of the following. A lamina occupies the part of the disk x2 + y2s 9 in t...

A: Given x2+y2≤9  ρ(x,y)=ky  x=rcosθ, y=rsinθρ(x,y)=ky=krsinθ

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Q: п a ) Σ x n=0

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Q: Let f be a function defined on JO, 1[ by : 0, if x is irrațional f (x) ={1/q, if x=p/q; where p and ...

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Q: Find the cube root of -8i

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Q: Selve yr-oys tt= P+by uiry monge fins } plean do et faut

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e=t ...

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