II. Find the value of x and y. 1. 4x + j(3y + 4) = 21 + j7 2. 3x + y + j(2x + 2y) = 13 + j10

Q: Solve: ()* +1 y In z 6x In a+ 2x = 9y + 36y + 18 In y + C O 6x* In z – 2x = 9y? + 36y + 18 In y+ C O…

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Q: 14. If f(z) = 2 + z² – zª, then the equation S(x) = 0has a solution on the interval A [1,2] B (0,1]…

A: We will make use of the fact that for f to have a solution in an interval it must be that f has…

Q: (11) Evaluate [[3x+5y+i(x²-y') dz along y=x (0,0)

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Q: 1- Find the interval wherex satisfies the equation: 1 3z12 12 6z 19 ) T 4 D) a 3 Tく1,23 T4

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Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: / Find the value of the Constant a& b such thet X > 2 fex)=} ax +b iif fer) is Continuny 3 bx - 2, x…

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Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity…

A: Differential equation

Q: Let y(x) be the solution for the DE : y = (x + y + 2)2 If y(0) = -2, then find y() ○2-푸 O 8 - T O -…

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Q: Use variation of parameters to find the particular solution to y'' - 7y' +12y = 3e³t Y(t)= Preview

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Q: 3. Is the function y = Cx² a solution to the ODE y" – xy' + y = 0?

A: Solution is given as below:

Q: 3. Obtain the general solution 3 3 y.(x .y + 2-x – y) dx+ 3 - 2).dy = 0 x (xy |

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Q: 8. For what values of x and y will both equations be true? 3x - -= y, 2y = x + Drag and drop the two…

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Q: 4. Find the solution for the following b. y' + 2y't y = cost y) = 1, y ²) = 2

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: Nindly answe is as soon as possibie. very urgent. ThankS (a) Solve it possible by method of…

A: Since you asked two separate questions so as per our guideline we solve only first question.…

Q: 2. Solve for the values of w(t), y(t) and z(t). w" - y + 2z = 3et -2w' + 2y' + z = 0 2w' – 2y + z' +…

A: Given system is w''-y+2z=3e-t-2w'+2y'+z=02w'-2y+z'+2z''=0with   w0=1, w'(0)=1, y0=2, z0=2, z'(0)=-2…

Q: Q1.Find the general solution of following PDE equation (a) (5z+ R)uz + (7x+ R)u, R (b) (z + R)u, +…

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Q: 7. Show that y(t) = c,e¬# +czte¬2# is a solution to y" +4y/ +4y = 0. Determine the constants c and…

A: The given equation is y"+4y'+4y=0. A second order linear, homogeneous ordinary differntial…

Q: 2w+5x+17y+7z=7 3w+8x+27y+11z=11 Enter your solution below. If a variable is an arbitrary parameter…

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Q: 5. Given that mz1 42°, mz2 = x2, mzC =D %3D K C E D

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Q: 5. Determine a solution of the following equation which satisfies the given condition: y-3y'+ 2y = 0…

A: Given that, The differential equation is following, y''' - 3y' + 2y = 0 y(0) = 0,  y'(0) = 2  and…

Q: Ex: FIND A COMPLETE SOLUTION OF EQ. y" + 3y" + 3y' + y = 0

A: The given differential equation is y'''+3y''+3y'+y=0. Find the complete solution of the differential…

Q: 8. Let a2 + xy³ + 2x = 11. Find y"(x) at the point (1, 2). %3D

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Q: first. Show that your ansW do you prefer? 3-30 Differentiate. 3. y (4x2 + 3)(2x + 5) %3D 4. y (10x2…

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Q: 3. Check for homogeneity and obtain the general solution. (Let 4C=C) (x² + y?)dx + xy dy = 0

A: We will solve the problem

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

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Q: Use variation of parameters to find the particular solution to y'" – 7y' + 12y = 3e Y(t) =…

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Q: What values of z and A make y=Acos(zt) a solution to y''+3y=0 such that y'(1)=1

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Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

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Q: 5. Differentiate the following a) y = e*(x³ + 4) %3D b) y= x³e* 3 у %3D et c) у%3 x2

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Q: 1. Solve ,analy hically., the fallowinng differencerequ. a. C- YCK+3) +2 y(km2) +oi45y(k+i) +0105…

A: As you require, we will solve this question on the given difference equation purely analytically.

Q: olve the following initial value problem (IVP) y" + 2y' – 3y = 3t2 – t + 5, y(0)=0, y'(0) = 0

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Q: Qe/ Salve the Euler- Cauchy equation xy'- xy+9y=o ?

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Q: 1. If (x and jy) = 3 + j8, find x and y.

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: b) Show that if y(t) is a solution of the problem y" +e*y + y = 0, y(0) = 1, y'(0) = 2, %3D then…

A: Given y''+e-ty'+y=0, y0=0, y'0=2

Q: What values of α and A make y=Acos⁡αt a solution to y″+2y=0 such that y′(1)=3? α= A=

A: We have to find value of a and A.

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

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Q: Find an actual explicit solution to y′=t/y,y(2)=−1.

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Q: What values of α and A make y=Acos(αt) a solution to y′′+6y=0 such that y′(1)=2?

A: The solution of differential equation y’’+6y=0 is

Q: 5. Which of the following equations is not a variable separable? dy (a) y – 3 xy – 2x + 4y – 8 dy XY…

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Q: 5. Give the graphical significance of the constant a for the equations of the form y-a(x-h)²+k.

A: We have to discuss the graphical significance of given equation.

Q: Solve an IVP:  y'' − y = g(t); y(0) = 0, y'(0) = 2, where g(t)= 1, tt

A: When t<2 then the solution:   y=32et-12e-t-1 When 2>t then the solution:  y=32et-32e-t-t

Q: 9. What is the solution of (x? +2xy – 4y? )dx - (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x?…

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Q: Let us solve the following equation via separation of variables 8²u(x, t) Ət² 8²u(x, t) dx² a) After…

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: C (7,1) and r = (x - h)2 + (y – k)2 = r2 O 0 = 1 + A+ X(q+ zA + zX

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Q: 4. Which is an equivalent form of the following equation? 2x-3y 3 Oy=--1 Oy=x-1 Oy=r-1 Oy=3x-1

A: Please refer the attached image for complete solution.

Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

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Q: 1. Find the values of x and y: a.) (1 + j2)* = 5+ j10 b.) (3 – j5)(6 + j4) = (x + jy) 2

A: Solve the following Find the values of x and y: a) 1+j2X =5+j10 b) (3-j5)(6+j4)=(x+jy)2