y" + 9n²y = 3ñd(t – 4), a. Find the Laplace transform of the solution. Y(s) = L{y(t)} b. Obtain the solution y(t). y(t): y(t) = c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 4. = { y(0) = 0, y'(0) = 0. if 0 ≤ t < 4, if 4 < t < c.

Q: Suppose that a boat is positioned at the origin with a water skier tethered to the boat at the point…

A: given thatThe boat trawelled along the path y=fx and passes through 19,0solution ;if…

Q: A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

A:

Q: Find y as a function of tif y(0) = 2, y'(0) = 3. y(t) = 0 16y" + 104y' + 169y = 0,

A:

Q: Classify the following ODE y(4) -3y (3)-y' =0

A: We have to classify the ode

Q: Find y as a function of if y(0) = 18, y'(0) = 28, y'(0) = 21. y(x) = y"-9y" + 20y = 24e,

A:

Q: Find y as a function of x if y(0) = 10, y(0) = 10, y"(0) = 18. y" - 16y" +63y = 144e",

A:

Q: (1 – x)y" + 2xy' = 0 , y1

A:

Q: Find y as a function of a if y(0) = 1, y'(0) = 9, y" (0) = -191. y(r) = j y"-7y" -y + 7y=0,

A:

Q: 4. Integrate the function f(z) = z² + 2z from z = -i to z = 1 in two ways, once along a straight…

A: The objective is to integrate the function fz=z¯2+2z from z=-i to z=1 in two ways, Once along the…

Q: Find y as a function of t if 16y" + 16y + 4y = 0, and y(1) = 2, y'(1) = 3. y =

A: The given differential equation  and the initial conditions .The objective is to find the solution…

Q: +20x-22y-14-0 become when referred to the rectangul axes through the point (-2, -3), the new axes…

A:

Q: Find y as a function of a if y"" - 12y" + 35y' = 24e", y(0) = 27, y'(0) = 11, y'(0) = 30. y(x) =

A:

Q: Find y as a function of t if y (0) = 7, y'(0) = 3. y(t) = 25y" +50y + 106y = 0,

A:

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

A:

Q: Find y as a function of tif y(t) T y" + 16y + 80y = 0, y(0) = 5, y'(0) = 2.

A:

Q: Find y as a function of t if y(0)= 4, y'′(0) = 1. y(t) = 25y" + 30y' +45y = 0,

A: given

Q: Let xis 13 +y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

A:

Q: Find y as a function of t if y(0) = 2, y'(0) = 5. y(t) = 100y" +9y = 0,

A:

Q: For HEE EN x'(t) 10 0 ( 1) : х (0) у' (1) =| 0 1 -1 у (г) у (0) 1 z'(t) 0 1 1 z (t) z (0.) 1 Write y…

A:

Q: Find the derivative of the dot product (u(t) • v(t)) if u(t) and v(t) equal the following (see image…

A: Given vectors are we are to find the derivative of u(t).v(t)

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

A:

Q: A dilation T sends A = (2,3) to A’ = (5,4), and it sends B = (3,−1) to B’ = (7,−4). Where does it…

A: We have, A dilation T sends A = (2,3) to A’ = (5,4) and it sends B = (3,−1) to B’ = (7,−4) Where…

Q: I. Find y', y" and y"" of the following functions. a. y = 2x-x'+ 5 b. y = (r²+2) x-1 II. Use the…

A: I. (a).y=2x4-x3+5diff w.r.t xdydx=2(4x3)-3x2+0y'=8x3-3x2diff w.r.t x…

Q: Find y as a function of t if y(0) = 8, y'(0) = 4. y(t) = 6y" + 33y = 0,

A:

Q: Find y as a function of a if y(1) = −2, y′(1) : = 4. y = x²y" + 9xy' + 16y = = x³,

A:

Q: Find y as a function of a if y" − 3y" − y + 3y = 0, y(0) = −9, y'(0) = −8, y'(0) = 7. y(x) =

A:

Q: Consider the following graph. Let u-(t) = u(t – 7) be the unit step function shifted 7 units to the…

A:

Q: Find y as a function of tif y(3) = 8, y'(3) — 9. Y - 49y"+126y + 85y = 0,

A: Find  as a function of  if  ,  .

Q: What is the rule used to transform ΔABC to its image?A(−3, 5), B(2, 8), C(−4, −5) and A'(−3, −5),…

A: The objective of the question is to identify the transformation rule that was used to transform…

Q: Approximate f' (1) using the given data f(0) = 1, f(1) = 2, f(2) = 1, and f(3) = 10 and the Lagrange…

A: Lagrange inteerpolation is used to find a polynomial equation which passes through the given set of…