28 Solve the equation : + 12y + Jy? + 12x = 33, x + y = 23.

Q: (D² +4)y = 4cos x

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Q: O+3D+a)= -2x t. Ae y=

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Q: 2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

A: The given equation is  y'''-y''-2y'=0

Q: Q3-Solve the equation by determination method: 2x-4y 6 .. (1) x +y +z=1 ..* (2) 5y +7z -10 (3)

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Q: To solve this equation y (4) + 16 y = 0 we use :y=e4dx .A True .B False

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Q: solve the equation :- y'(t) = y(t) [a-y(t) ] ₁ y(0) = a/2, 970

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Q: 1. S, V4– x²dx. -2

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Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: Solve the equation: 5/R-1/S=2/T for R in terms of S and T R=

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Q: Find the general solution af the equation, y' = x(1- y).

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Q: Solve the equation y"-4y'= 0 given that y(0) = y'(0)= 0 and y "(0) = 4 %3D

A: Given differential equation is: y'''-4y'=0 Write auxiliary equation corresponding to given…

Q: 4. Solve the equation: (D² – 3D + 2) y = 2e* + 8 O y = cje2* + c2xe¯* + 4 + e* O y = cje2* + czeť +…

A: Explanation of the answer is as follows

Q: Solve the equation 4cos2 x = 3 on the interval [0, 2ᴫ).

A: To solve, 4cos2x=3      on the interval [0,π)             ⇒cos2x=34⇒cosx=±34⇒cosx=±32…

Q: Solve the equation y" + 9y = 0, given that y(0) 4 and y'(0) = 1.

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Q: du Solve the equation "u(0, y) = 8e» = 4. by the method of separation of variables.

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Q: b) Solve the given equation by method of undetermined coefficient y" + 3y" + 3y' + y = 30 e-*, y(0)…

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Q: 1. Solve, using the substitution u = y': y" = 1+ (y/)?

A: Solution of differential equation

Q: (b) Solve 1 y +-y= 0, t> 0. t

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Q: Solve the equation on the interval 0s0< 2n. 4sin20-3 =0

A: Given,           4sin2θ-3=0

Q: Solve the IVP. y' 4y(4-y), y(0) = 3 y3=

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Q: Q3-Solve the equation by determination method: 2x-4y 6 - (1) x +y+z-1 * (2) Sy +72-10 (3)

A: Since we are given with multiple number of question and our guideline is solve first question kindly…

Q: Solve The equation (finding the general solution - @ y(t) = t/y(t) 69 (0) = 2 @ Ý (t) = te y(t) ,…

A: To solve the following differential equations.1 y't=tyt, y0=2 2 y't=te-yt, y1=0

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

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Q: Solve the equation (i) 22r +1 = 20, %3D 54y-1 125+3 (ii) 25 252-y

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Q: az Solve (x² – y² - z²)p + (2xy) q = 2xz where p = əz II

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Q: Use an appropriate substitution to solve the equation xy' + y = -2xy², and find the solution that…

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Q: 4. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTIONS. x² (y')° = 2y² – xyy' -

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Q: Solve the equation [2] = +s LOJ +t (0) -8x + 3y - 7z = 4.

A: The Given equation is  -8x+3y-7z=4           ......(1)

Q: Use the method of separation of variables to solve 2.xyU, +2U¸ =0, U(x,0) = 3e4**

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Q: Solve the diffrential equation:

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Q: Solve the equation -2x – by – 5z = 0. = S + t

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Q: Move just one match so that the equation is going to be true. In how many different ways this…

A: Consider the given equation. XV+V=XIX   To make this equation true, remove the vertical match from…

Q: D. Solve the equation zx = x² + xy? when x = 0, z, = y³ and when x = 2, z = y.

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Q: Solve  x+y=a+b  ax-by=a2-

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Q: A. Solve the following equations: 5. y" - 9y = 0 with x = 0, y = 0 and y'=3

A: Consider the provided differential equation, y''-9y=0 And the provided initial value is y0=0 and…

Q: Solve the simultaneous equations y = 2x – 3 x² + y? = 41 Show clear algebraic working.

A: Given equations are y=2x-3 and x2+y2=41.

Q: Move just one match so that the equation is going to be true. In how many different ways this…

A: To Determine: move just one match so that the equation is going to be true.in how many different…

Q: (D² +D-1)² y =0 ,when x = y= 0 , y' = y = 1 , y" = -1

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Q: 1. Solve for y. D B 420 C0y-4 8. Find MZBCD. 40

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Q: y"+ 4y= 1+x+ six

A: The given differential equation is  y" + 4y = 1 + x + sin(x)  To obtain universal solution  y =…

Q: y'=(2x+2y+1)/(x+y-1)  Solve the equation.?

A: Consider the given equation. y'=2x+2y+1x+y-1 Put v=x+y in the above function. dvdx=1+dydx

Q: Solve the DE with general solution m''-3m'+2m=0

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Q: Solve Q.!] by Using Variation of Parameters method : 49+36 y = csc (3×).

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Q: (c) Solve the general solution y' + (cotx)y = xcscx

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Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

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Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: Solve using back-substitution. (2x + 3y - z+w = 24 y+z=w=2 3z + w = 7 5w = 20 What is the value of x…

A: Solution :-

Q: Q1:-Solve the following equations(choose three only):- 1- y +y=-x'y

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Q: Q4:-Solve the following equations (choose tow only):- 2: 2x?y + 4xy +3y = 0

A: Here I am attaching image so that you understand each and every step. I do all explain of Cauchy…

Q: Solve the equation  by variation of parameters. y′′ + 4y′ + 5y = 10

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