y" (t) – y(t) = 4cos(t); y (0)=0 , y'(0)=1 Answer: y(t) = 2cosh(t)+ sinh (t)–2cos(t) y"(x) – 4y'(x) +4y(x)=4e2x ; y (0) = -1 , y' (0) = -4 Answer: y(x) = e2x(2x²–2x-1)

Q: Find y' if y= cos (X-1) X-1

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Q: Find y as a function of x if y(1) = 8, y′(1) = 6. y = x²y" — 6xy' – 8y = 0,

A:

Q: 3-2r . Find y'(0) %3D

A: Given: y=3-2x21+x To Find: y'0=?

Q: 5 Find y' if cos (Xty) =

A:

Q: Solve the given IVP: (a) y""+y" - 2y' = 4e-²x/cosx; y(0) = 0.4, y'(0) = −0.4, y″(0) = -0.4

A:

Q: y = (c1 + c2e2= + c3e¯® + C3e¯ cos(2x) + c4eª sin(2x))

A:

Q: If a(x) = 2 – 8x, what is an equation for a (x)? O A. a-1(x) 2. 8. O B. a '(x) = ?= 2 8 al(z) = ", 으…

A: The given equation for a(x) is: a(x)=2-8x

Q: (xii) f(t) = 3e'cosh4t (xiii) f(t) = 3e-2"(sinh2t – 2cosh2t)

A: Given :-  The table of Laplace transforms below and any relevant properties used. (xii) f t = 3 et…

Q: 3. y' + (tan t)y = sin t, y(t) = 0

A: Sol

Q: Suppose y = A cosh (11) + B sinh (11x), and A and B are arbitrary constants. If you are not familiar…

A: We will find out all the required values.

Q: Solve: y(1) Given: y" + y = k sin(kt), y(0)=6, y'(0) = 0, where k-sqrt(2)

A: y" + y = k sin(kt), y(0) = 6 y'(0) = 0, where k = sqrt(2)

Q: Find f. a) f '''(x) = cos(x),    f(0) = 7,    f '(0) = 8,    f ''(0) = 8   b) A particle is moving…

A:

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: y" (t) - y(t) = 4 cos(t) ;y(0) +0 , y'(0)=1.

A: The objective of the question is to solve the given second order differential equation with the…

Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: 3-(cos x)y' =yCv-1) sin x.

A:

Q: b) y"+ 4 y = cos (t), y(0) = y'(0) = 0

A:

Q: (e) Find y' and y" for y = sin (x+y). %3D (f) Find y' for sin x+ sin y = 1. %3D (g) Find y' for x…

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Q: Find y as a function of t if y(0) = 8, y'(0) = 3. y = 64y" + 304y +361y = 0,

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Q: (a) y=In, X-4 2x+5

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: y" + 9y = e²* sin(x)

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Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

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Q: Solve by variation of parameters method (h) y" + y' = tan x

A:

Q: 27 Find y' if y =4 sin ditE

A: We have to find

Q: y" – y' – 2y = sin 3t y(0) = 1 and y'(0) = -1

A:

Q: (2) If y = (sin-1(x))², prove that (1- x2)y" – xy' - 2 = 0.

A: here first we will derivative with respect to x then squaring both side and put value of the y then…

Q: y" +2y+3y= sint + 8(t-3л); y(0) = 0, y'(0) = 0

A:

Q: x' + 2x+2 y" – 2y' + y =

A: As per Bartleby guidelines, for more than one question asked, only one is to be answered. Please…

Q: (1+x)y' + y = cosx; y(0) = 1

A:

Q: z(x) 1+x² You need to find the formula for y'(x) first, then evaluate y'(x) at x = (c) Let y(x) = =…

A:

Q: If y(v) = 10 COS 79 72 dr then

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Q: 1. y' = 2(3x + y)? – 1; y(0) = 1

A: Given that: y'=2(3x+y)-1, y(0)=1

Q: (d) If x y/1-y², find

A: Solving question1 for other question repost.

Q: y" – y' = sin(t) y(0) = 1 y' (0) = -1

A: We have to solve the IVP           y''-y'=sinty0=1y'0=-1