Here’s a differential equation: y '[t] = t + y[t] y[0] = -1 Use Euler’s faker with a jump size of 1 to find the points {1, a}, {2, b} and {3, c} that lie on the faker plot.

Q: Eliminate the constant: 2x 3x =c₂₁e²x + c₁₂e³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

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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.

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Q: 3. Suppose a child going down a slide experiences an acceleration of a(t) = (- cost,- sin t, –1).…

A: Given,  Acceleration is,  at=-cos t, -sin t, -1Writing in vector form,at= -cos ti^ + -sin tj^+…

Q: Find f. f'(t) = 2t – 2sint, f(0)=7

A: From the given problem: f't=2t-2sint And f0=7

Q: A particle moves along the curve *= 21² , y = t² – 4t and = = 31 – 5 where t is the time . Find the…

A: Given: Position vector is given as, r→=2t2i^+(t2-4t)j^+(3t-5)k^ The objective is to find the…

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

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Q: P(t)y'' + Q(t)y' + R(t)y = S(t) is this a linear equation?

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

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

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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,

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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: Solve for a linear equation? P(t)y'' + Q(t)y' + R(t)y = S(t)

A: We have to solve for a linear equationPty''+Q(t)y'+R(t)y=S(t)

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

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Q: If y = v3x , then y' is A. -1/2 B. V3 x -1/2 С. /3x V3 D. 2 V3 -1/2

A: Given y=3x

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

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Q: Find y as a function of a if y(0) = 19, y'(0) = 26, y" (0) = 14. y(x) = y"" - 10y" + 21y' = 48e²,

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Q: A suitable substitution to transform the L 0² r' = r? + 2r 0² into linear equation will be: 0-2 rー1…

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Q: Suppose r'(t) has units of m/s. Explain why T(t) = r'(t)/ | r'(t) | is dimensionless (has no units)…

A: Suppose r'(t) has units of m/s. To explain why Let r(t) be a differential vector valued functionNow…

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

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Q: Compute r"(t) and r'''(t) for the following function. r(t) = (7t2 + 4,t + 3,6)

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Q: Calculate r' (t) and T(t), where 88.8 r' (t) = ( T(t) = ( r(t) = (3t6,2 - 3t, 2t - 9).

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Q: Jack drives east away from Hilltop bakery at 60 mph while Jill drives toward the bakery at 40 mph…

A: Given that,

Q: Is the equation y '(t) = 2y - t separable?

A: Given a differential equation, y't=2y-t

Q: (5) Find the curve y = f(x) in the xy-plane that passes through the point (9, 4) and whose slope at…

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

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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