Use this in Exercises 16-21 to find a particular solution . Then find the general solution and, where indicated, solve the initial value problem and graph the solution. у(0) — —2, у'(0) — 1 De 2*, C/G y" 8y7y 18. = 10e-2x

Q: The doctor prescribes 25mg/kg divided into 3 equal doses for a todddler whom was 42 lbs. find the…

A: The weight of the child is 42 lbs The weight of the child in kilograms is 42×0.4536=19.0512≈19…

Q: Folve the following linear equations. 1) y' + 2y = x² + 2x 2) (x2 + 2x – 1)y' – (x + 1)y = x – 1 - -…

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Q: C.1. Give a real general solution to the equation u'''' - 5u''' -6u'' = 0 :

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Q: Solve the initial value problem. -7 4 y' = у, у(0): -6 7 -4 |

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Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: Solve the equation y" – 10y' + 25y = t-5e5t.

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Q: 4 solve the D.E " -X² Joly =0 3x2 ydx + LY

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Q: Q1:- A) solve the following D.E x + x*)»' -3y = 0 1 x?y" + В):- у" + у' — бу %3 8e3х

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Q: V(1 -1) (1 -1)(I – ') = 21

A: You must know these formulae before solving this problem:

Q: Find the general solution to y'" + y = 0 Show the solution.

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Q: Solve for x + y (EZ) if i) x² - y² = 24, ii) xy = 35

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Q: Solve y'-y y'e" A) y(c- x) = e", y= 0 B) y(c – x) = 0, y = 0 C) y= e", y = 0 D) y(c-x') = e", y= 0

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Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

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Q: 9. y" +9y = 0

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Q: Convert the given equation into the form of a Sturm-Liouville equation. y" +7y' + ay = 0 Write the…

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Q: Solve the equation 4 x² y" + 4 x y' – y = 0

A: The given opinions and incorrect. There can't be x in power. In particularly x(-x/2) can't be…

Q: Solve the HDE: z'y = ry+3xev*. Your Answer:

A: To solve the homogenous differential equation given.

Q: Find the general solution of the equation y" – 2y' + 5y F0 Do not need to show your work, just give…

A: First we find the auxiliary equation and then we find the general solution of the given homogeneous…

Q: 2. (LI-2) Consider the equation r2y" - xy + y = 0. It is given that y₁ = z is one solution to this…

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Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: 3x'y"+2xy' = 0 %3D

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Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: Solve F (t) = 1 + 2 | F (t- u) e " du. -2u

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Q: The function y1=ln x is a solution of xy''+y'=0 A) Find a second solution y2 on the interval…

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Q: 1 y" + 3y' - 18y = 0 2 y"-14y' +49y = 0 y" + 2y' +10y = 0 y"" — 7y — бу = 0 3

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Q: 7 b) For the system, 9. 6 - 1 Y': Y 5 4 Write the natura! period of the oscillations, round the…

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Q: Find the general solution of y" - 6y"=3 - cosx.

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Q: For the system, Y'=6 –1]y Y 5 4 Write the natural period of the oscillations, round the answer to…

A: This is a question of mass-spring system, application of differential equation.

Q: 2.c) Eliminate the Arbitrary Constants in the equation: * y – x = C1e* + Cze-2* -y" - y + 2y - 2x +…

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Q: Solve the first-order linear equation ey' + 3ey = 2xe¯ = 2xe-5x, y(1)= 232.

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Q: — хz + 2ху %3 0. xy ay az az Solve, y? ax

A: Lagrange's Method: Let us consider a standard form of the first order partial differential equation…