Consider the differential equation y"-y'-2y=e' conditions y(0) = 8, y'(0)=0. with initial What function y(s) is obtained by solving using the square transform 8 (s-1+1 Y(s)- (s-1)(s-2)(s+1) 8(s-1)+1 (s-2)(s+1)(s-1) b. y(s)= 8 (s+1)2+1 (s-2)(s+1)(s- 1) Y(s)= - 8 (s-1) (s-2)(s+1)(s-1) d. Y(s)=

Q: (1) The functions f, g and h are related by f(x) = g(x+1),. g'(x) = h(x-1), then f"(2x) equals: (a)…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1…

A: Matching the differential equation with its direction field  y'=9(x+y)-1 x 0 0 0 0 0.1 0.2 0…

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: y" - 2y' = -4 y(0) = 0, y'(0) = 4

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Q: The function y = x4 is a solution of the differential equa x²y" - 7xy' + 16 y = 0. Find a second…

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Q: (3) y'= y(3-y), y(0) = 2.

A: To solve the following initial value problem (IVP).

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A: Consider the differential equations:a) b) c) d) e) To Find:Which of the above equations is not the…

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Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

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Q: Solve the differential equation r?y" – 2ry' + 2y = x (1+ ln x) by using a suitable transformation

A: Given  D.E is:   x2y''-2xy'+2y=x1+lnx   which  is Cauchy  Euler equation  can be written in operator…

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Q: Determine the form of a particular solution to the differential equations. Do not solve. (a) x" – x'…

A: (a) The associated homogeneous differential equation is                     x''-x'-2x=0…

Q: (t + 2)°y" + 3(t + 2)y' +y= 0, 1>-2, V1 = (t+ 2)

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Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

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A: Given that, the differential equation need to solve it using the Laplace transformation.

Q: Obtain the differential equation of a parabola with axis parallel to the x-axis. A 3(y")²-y'y"=0 B…

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Q: Solve the differential equation y' + y == A) y= Inx +cx-² B) y= Inx +cx-1 C) y= In x+cx-2 D) y= Inx…

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Q: y ce + 3r O y'+6y 2t (t+ 1) O y'+2y = / (1+ 6) 3. y'-2y 61 (t- 1) O y'+ 2y = 61 (1 + 1)

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Q: The solution of the non-exact differential equation (3xy - y²) dx + x(x − y) dy = 0 is: O O O None…

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Q: Determine the solution of the differential equation shown using Laplace and Inverse Laplace…

A: Given y'''−y=4e−x+3e2x.....1 When, x=0, y=0, y'=−1 and y''=2 Take Laplace transformation of equation…

Q: 6y"" + 5y"+y' = 0 y (0) = -2, y'(0) = 2, y" (0) = 0

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Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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Q: Consider the differential equation for y(x): a) d²y dz² Consider the auxiliary equation for this…

A: d2ydx2+6dydx+9y=0

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Q: f(x)2x – z² f'(z) f(x)² Q-3. If y = f() satisfies the differential equation 5x then find f(r) %3D

A: Use the division rule of derivative and compare it with the equation given. Integrate the equation…

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A: A, B, C are coplanar.So

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Q: Cx²e*dx

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Q: (t - 5)'y"-2(t-5)y' + 2y = 0, t>5, V = (1- 5)

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Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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