Q2: If Z1= 4i-3 22= 3i Z1+Z2 Find Z2

Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: Solve for y: Ax+ By= C

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Q: Solve for X,Y and Z:  3x + y − z = 11x + 3y = z + 13x + y − 3z = 11

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Q: Show that the equations xp- 4yq=0 and (32 +2z +1)(p+q)=x'(x+4y) compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

A: The given differential equation is y''-y'-2y=7sinh3t-3cosh3t; y0=2, y'0=4. Calculate the values ys…

Q: Q1. Verify that y= is a solution of the DE -20t y + 20y = 24 %3D

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Q: Зах-п 5. 5. = -4 for x 6 by+2 3DC for y 7. at + b = ar - c for a

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Q: Solve for z (3+i)z- 2 = 2z + (4 - i)

A: see below the calculation

Q: , h(t) = -4t² + 10t + 18, w %3D

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Q: What is the general solution of 3 (3z + y') dz – 2zydy = 0?

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Q: of (x, y) = a? + 4y

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Q: 4. (D2 + 2D + 1Jy = 6

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Q: Q2 Identify and solve xy"-2.xy'+2y=6x+4lnx assuming that

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Q: Q.3 use elimination methed to solve 2. X +2 +3x + 8y =2 2.

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Q: Solve y”+9y = 2cos(3x)+3sin(3x) using the method of undetermined coefficients. Show all support…

A: The given differential equation is…

Q: b.y" — у %3D 3t + 5, when y(0) 3D 0, у' (0) — 0

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Q: Find all the solutions of 211 + 1z10 + 1²zº + .+1" = 0 ... to Hint: What happens when you multiply…

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Q: Evaluate -5у-5 dy 31. Jv+2y-4

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Q: What is the particular solution for y′=6ex+7x3−7x+1 such that y(0)=−4?

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Q: Q.2 a- If w=xy+ find y2 +1 a²w a²w and дхду дудх

A: Solution Part A  Given. w = xy+eyy2+1  We have to find ∂2w∂x∂y   and  ∂2w∂y∂x

Q: r+ 2y = 4 3r + 8y %3D I =?

A: Simultaneous equations are two or more equations which involves two or more quantities that are…

Q: What is the particular solution for y′=6e^x+7x^3−7x+1 y(0)=−4?

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Q: Q1: using variation of parameters to solve: * y"' – 2y" – 21y' – 18y = 3 + 4e-t %3D

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Q: given f (2) = 3z - 6z+ j3. what is the value of u(3, 2)

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Q: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

Q: solution for z(x, 0) = x², z(1,)

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Q: x)is solution for x²y"+xy + (2x2- 4)y=0 ylgn İhi

A: True

Q: · ds, where y²+² and S is the

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Q: 3 4. If y = t3 + 3t? and x = t - 8t2, show that y" = 16t(t+2)(t-2)3

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Q: r. = x (n) |1,

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Q: Solve by finding rref form x+2y+z=6 2x-z=4 y-4z=2

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Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: Find SS₁R³² z²dA where R = {(x, y) | 36x² +9y² ≤ 324}

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Q: Obtain the general solution. (D^3 - 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

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Q: (a) E= 1.5x10-12 J, Q = 1.6x10-19, V = ?

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Q: Solve for z in the equation 5z+3y = 10. A z= 7y – 5 z= 10 - 3y I= 2 - 54 Dz= 2 - 8y 3.

A: To solve for x 5x+3y=10

Q: dy Q 3-Find t=3 if y+ 4x2 = 7, x+ %3D

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Q: 9. (D2 - 2D +5)²y = 0 %3D

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Q: Is t3 t2 – 2dt , can be solved by 3 methods? -

A: Yes, the above problem can be solved by three different methods. The three methods are as follow:…

Q: y" + 10y + 25y: 18e-5t t2 + 1 Yp =

A: Given : y" + 10y' + 25y = 18e-5t/(t²+1)

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Q: Q1 / Find x, y, and z 3x [ 2х — 1 6 ] = [; ?] 2 x + 2y 2

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Q: Find JL. K 5r- 16 4r + 34 91-

A: Use the properties of triangle when a line parallel its  one side is drawn.

Q: 9. (D+3D² + 3D+1)y = 0. 13. (4D* +4D³ – 3D² - 2D + 1)y = 0.

A: As per our company guidelines we are supposed to answer only 1 question. kindly repost other parts…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.