Consider the equation I1 +2 +13 = 25 where r1, r2, r3 € Z.

Q: Find the general solution of the difrential equation (D² – 4D +3)y = e²cos3x.

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Q: 5olve The simultaneaus.equation 22 tiw - 2 2+ (1ti)w =3;

A: Given :                    2z + i ω = 2 .................(1)2 + (1+i)ω = 3i ..............(2)then we…

Q: Solve: 5x? 20х b. x2 + 4 = 8r – 12 с. (х — 7)(х + 5) — —20. a. -

A: We have to solve the equations: a.  5x2=20xb.  x2+4=8x-12c.  x-7x+5=-20 Solving a. Simplifying the…

Q: The equation y² = cx is the general solution of: y' = 2x y 2у В A y' = y 2y 2x O D B.

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Q: Obtain the particular solution for the equation 2(x³ + 7)y' = x?y when x = 1, y = 4.

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Q: Solve the following equations:* (DS+D¹-7D³-11D²8D-12)y=0

A: The given differential equation,D5+D4-7D3-11D2-8D-12y=0

Q: Find the general solution of the equation x* (4 + 3z?) z, + y* (4 +3z²)z, = (x' + y')(4+ z³) z.

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Q: Q.4. Solve: y" – y' + y = Vxe*

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Q: y

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Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2* , yo=y1=0.

A: According to question, Given equation, yk+2 -4 yk+1 + 4yk = sin k + 2k,y0 = y1 = 0

Q: 2. Determine the values of the variables to satisfy the equation. Ans. a = 10, b = 5 5a – 2b = 40

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Q: QA, Solve the Ive : y'= [2+Y-2)", y lo) =2.

A: Using substitution method to variable separable form.

Q: solve fo y -3(-5y+4)-2y=3(y-1)-4

A: Given,

Q: how can i solve this equation? y" – 64y = 16, y(0) = 1, y'(0) = 0

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Q: Solve the equations X-3y + 4z 5 2x + y +z 3 4x +3y +5z = 1 Edit

A: x-3y+4z=52x+y+z=34x+3y+5z=1we solve this problem by using crammers ruleHere D=1-34211435…

Q: Solve for X in the equation, where -3. 3 5 0 1 -4 A = and B = -5 0 4 2 5 3 X = 2A + 2B %3D X =

A: On solving this we will get

Q: Solve the equation .11 y" + 3y' + 2y = x2

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Q: What is the general solution of the equation y '(t) = -4y + 6?

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Q: HiW.2 DE solve Q5 y= ソ-4y2 -→ y -メ

A: Explanation of the answer is as follows

Q: If x = 3, y = 2, and z = -3, does the ordered triple (x, y, z) satisfy the equation 2x - y + 4z =…

A: if x=3, y=2 and z=-3  then we have to determine does the ordered triple (x,y,z) satisfy the equation…

Q: The solution of the equation x +2 2 in R, is *27 а) 4 b) 4 37 c) d) 2л 4-

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Q: Give the general solution of (D5 – 3D4 + 8D² – D - 5)y = 0,

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Q: Solve the equation. 0.1(y-8)+0.12y=0.18y-0.6

A: 0.1(y-8) + 0.12y = 0.18y - 0.6 => 0.1y - (0.1)*8 + 0.12y = 0.18y - 0.6 => 0.1y - 0.8 + 0.12y =…

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Find the general solution for: (D² + 20D + 200)y = 20

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Q: What are m and b in the linear equation y = 10x + 7

A: We know y=mx+b (equation of line) is called the slope-intercept form of equation of straight line…

Q: Solve the non-linear equation x2 = 2y + 10 Зх — у %3D 9 y = |

A: We have givenx2 =2y +10             ⋯⋯⋯⋯(i)3x -y = 9                ..........(ii)From (ii)we get…

Q: What are m and b in the linear equation y = 28x + 21?

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Q: a.) Solve the equation z³ − 1 = 0 15 1 √3 b.) Evaluate (-+-+3) " 2 2

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Q: 2 -1 2 2.

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Q: Given 2x-y=6, solve for y. A) y=2x+6 B) y=2x-6 C) y=-2×+6 D) y=-2x-6

A: Given: 2x-y=6       To determine: y

Q: Solve the lineaŏ evuation 2メ」+ス。 =y 1 3ス)→ 4スュ-2メ3=-3 スi+フメュー5x3ー6

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Q: Solve  x+y=a+b  ax-by=a2-b2

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Q: 4y– 3x (е) у' - 2х- у

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Q: Solve the diffrential equation:

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

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Q: 10. Solve the equation (D² - 3D + 2)y = 16.

A: Solution

Q: 0. Solve y"+8y'+20y = 0, with y(0) = 2, y '(0) = -7.0

A: We have to find the solution of given differential equation.         y’’+8y’+20y=0  ; y(0)=2,…

Q: What are m and b in the linear equation 5 + 6x + 4 + 2x = y?

A: Given: 5+6x+4+2x=y

Q: Find the solution. (D2 - 20 - 3ly = 0; when x = 0, y = 0, y'= 4

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Q: 3 8 =D1 x-3 x2 -9

A: Given:  3x-3-8x2-9=1 To Find: The true solutions of the given equation

Q: find the solution (D^2-d-6)y=0 when x=0, y=0 and x=1, y=e^3

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Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2*, yo= y1=0.

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Q: Solve for x, given the equation Jx-5 +7= 11. Ox= 21, solution is extraneous Ox=21 , solution is not…

A: NOTE: Refresh your page if you can't see any equations. .

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

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Q: Solve the equation y" + 4y = 16, y(0) = 9, y'(0) = -5.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.