Find a formula for the solution of the initial value problem y"+8ly = f(t), y(0) = −9, y′(0) = = -8. y(t) = + = 0 -9 cos (9t) t 9 sin(9t) dT

Q: Find the solution of y" + 9y' = 162 sin(9t) + 1296 cos(9t) %3D with y(0) = 5 and y' (0) = 9. %3D y =

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Q: y" + 3y' + 2y = e¯ 2« – 10 sin(æ) - 10 -2x -

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Q: Find the general solution of y"+y = cos(t) (a) Using undetermined coefficients (b) Using variation…

A: Find the general solution of (a) Using undetermined coefficients.(b) Using variation of parameters.

Q: The general solution to the equation y'' + 4y' + 5y = 0 has the form eat (c₁ cos(bt) + c₂ sin(bt))…

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Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: y" + 2y' = 4x – 5 cos(x).

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Q: 6. Solve y sin (x) cos (x) with initial condition y'(7) = 1 and y(7) = 0.

A: y = 1/4 [ x - 1/2 sin2x] +x -π/4

Q: y(7) −4y(6) −4y(5) + 56y(4) −156y(3) + 224y'' −176y' + 64y = ex cos(x)−3e2x + xe−4x What is the…

A: y(7) −4y(6) −4y(5) + 56y(4) −156y(3) + 224y'' −176y' + 64y = ex cos(x)−3e2x + xe−4x

Q: Find the general solutions (implicit or explicit) to the following equations. (a) y' = e3x-2y + x²…

A: First order ordinary differential equation.

Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

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Q: Solve (x + sin(y))dx + x cos(y)dy = 0 and find the solution passing through (2,7)

A: Given: We have to solve the given differential equation and find the solution passing through

Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: Find a particular solution to /" + 16y = 8 sin(4t).

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Q: werty that the indicated function() explicit solution of the given first-order differential 2y² = y²…

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Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"…

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Q: + √" y(7) cos(t — 7)dr, y(0) = 1. 2. Solve y' (t) = cos(t) +

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Q: Find the solution of with y(0) 3 and y' (0) = 8. y = y" + 3y = 108 sin(3t) + 36 cos(3t)

A: see below the answer and explanation

Q: FIND Y(s) OF THE GIVEN EQUATION.

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Q: (c) y" + 2y-3y = 9 sin(t)

A: A detailed solution is given below

Q: How can I find the particular solution of y''+36y=cos(6x)

A: How can I find the particular solution of y''+36y=cos(6x)

Q: Suppose a solution to a differential equation is given by: x(t)=5cos(2t)+12sin(2t) (a) Express the…

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Q: Solve the initial value problem: y" + 6y' = 648 sin(6t) + 648 cos(6t) with y(0) = 8 and y' (0) = 9.…

A: The given differential equation is  and

Q: ind the solution of with y(0) 2 and y/(0) = 5. = = y" + 4y = 96 sin(4t) + 96 cos(4t)

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Q: 3. Solve y' + cos(r)y = 2 cos z subject to the initial condition that y() = 2.

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Q: Find the solution of y" + 4y = 160 sin(4t) + 224 cos(4t) with y(0) = 3 and y' (0) = 2. y =

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Q: the solution to the given equa y" + y' – 2y = cos(x) – 3 sin(: -

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the general solution of the d dy 2c-2v = dx 3 sin(x/2)√ √cos³(x/2)

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Q: Solve. y" + 6y (v¹)³=0 a. v(x) = C₂e1*-6 C₁y+y³=C₂ + x b. C. (C₂-y)² + x² = C₁ d. y=C₂-In(C₁-x²) e.…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" -…

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Q: IV. y-y=sin x+cos 2x +e

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