a). Find the complete solution of the following: 9pqz = 4(1+z3). b). Solve the following PDE by using the method of seperation of variables, ди ди = 2(x+ y)u. ду %3D

Q: If m/1 68 and m/2 = 47 then mZ3 %3D %3D 3. 2.

A: We have to find the value of angle 3 from the given diagram.

Q: II. Determine the number of solutions of each of the following equations. 1. Ox + Oy + 0z = -4 2. Oa…

A: The given linear equations are  1.  0x+0y+0z=-42. 0a+2b=53.  6x1-3=04. 2x1+3x2=-15. 6x1+5x2-3x3=0 To…

Q: Find the solution set of the following equation. a. V8x + 1 = x + 2 b. Vx + 2 + v3x + 4 = 2

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Q: The number of solutions of (x? + 1)? + 2(x? + 1) - 3 = 0 is equal to А. 1 В. 2 С. З D. 4

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Q: Differentiate: 1. y = x*-x + 5 2 2. α : e+1

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Q: Solve. 3 (2x – 5) – 4 (6 – 5æ) = 6 (7x – 2) - - -

A: Find value of x

Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: Use the method of undetermined coefficients to find one solution of y" + 4y′ − 4y = (4x² - 9x-4)…

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Q: Q: Solve (3xy+ y ) dx+(x +xy) dy = 0

A: 3xy + y2dx + x2+xydy =0 3xy + y2dx =- x2+xydy  dydx=-3xy + y2 x2+xy Put y = vxv + xdvdx =-3x.vx +…

Q: - Solve the following for x. a. x - 7x + 10 =0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy dr +y- y²e* 4. Find the general solution of a.ye*(C + x) = 1 b. ye* (С — х) %3 -1 с. уе* (С — х)…

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Q: a. Solve by back-substitution: 3x1 + 3x2 + X3 = 12, -4x₂-3x3 = -10, 4. 2x3 = = b. Solve by…

A: We will solve the system of equation by back substitution  and  forward substitution

Q: Solve for y ax=cy - z

A: Solve for y: ax=cy - z This can be done as follows:

Q: use the appropriate method b. ( 2x + 7)(0.3 x-9) = 0 1. Solve 3x2 – 18 = 0 -4.5x? + 3x – 10 = 0 a.…

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Q: Use the substitution ux)%3D2х - Зу (x)+2 to solve the following IVP: У'+ (2х - Зу +2)23D0, у (0) —2

A: Given that diffrancial equation y'+2x-3y+22=0  , y0=2Solutiondydx=-2x-3y+22let…

Q: - Solve for x: x² - 3ax = 4

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Q: If g(x) = 4x* – 3x² + 2x – 2 , then g) A. 글 -3 В. 2 C. D. 5 2 Е. 3 2

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Q: ve : (2a²t – 2æ³) dt + (4æ³ – 6x²t + 2æt?) dæ = 0 | x - c 2x* + c 4 Option 1 Option 2 4x* + c a* +c…

A: Solving the differential equation by grouping of terms.

Q: a. Solve by back-substitution: 3x1 + 3x2 + x3 = 12, -4x₂-3x3 = -10, 2x3 = 4. b. Solve by…

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Q: 3B(i). Write y = 3x²2 + 12x+5 in the form of y= a (x+h)² + k where a, h and k are constants.

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Q: If the width of a certain rectangle has its width increased by 25 and its length decreased by 15,…

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Q: In a certain region, about 8% of a city's population moves to the surrounding suburbs each year, and…

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Q: Solve (2y + 5)dx = 6dy O a. x = 12In(2y+ 5)+ c O b. y = 3In(2x+5) + c C.x =-In(2y +5) + c O d. x =…

A: Given (2y+5)dx = 6dydx6 = dy2y+5

Q: 5a 10a-8

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Q: Find the general solution to (4) 11"+30" 0. = In your answer, use C1, C2, C3, and c4 to denote…

A: To solve the given differential equation y(4)−11y′′′+30y′′=0, we first find the characteristic…

Q: Find the general solution of ylty = 2xcosx -cosX %3D

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Q: Solve the given higher order DE y" – y" + 3Dy – 5y = e*Sin 2x

A: Auxiliary equation corresponding to given differential equation: m3-m2+3m-5=0 Roots of polynomial…

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: 5. Solve (5x – 9)? = x - 1 А. 2, 5 В. -2, -5 С. -2 D. 5

A: Topic = Quadratic equation Correct option = A