extraneous solutions. 14) V3k-64 %3D 16) n=7+V -4n +28

Q: A В 3. n(A UB) = 55 n(AN B) = 15 n(B) = 35 15 y Solution: O x = 5, y = 15 O x = 10, y = 10 O x = 15,…

A: If A and B be two set then the set A∪B contains all the elements of A and B whereas A∩B contains…

Q: 1 (1 – 30, coefficient of 1 2y2/3 Solution: y2

A:

Q: What is the general solution of (4D* + 4D² + D) y = 0 ? y = C, + C2ei+ Czzei" + Czrej Cjei + C2zei"…

A: The solution is given as

Q: 8. What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? C. y =V5x +2 d. y =3x – 4 a.…

A: Given differential equation 2xyy'=1+y2, when x=2,y=3. The objective is to find the particular…

Q: What is the solution of 3a? + 6xy? + (6x²y + 4y²) y' 3a +9xy + 2y3 = C O 43 + 16a?y? + 3y3 = C %3D O…

A:

Q: Using the method of variation of parameters, what is the form of a particular solution y of (D³–…

A:

Q: "he table below shows the six basic solutions to the following e-system. The feasible solutions are…

A: The given equations are : 2x1+3x2+s1+0s2=94x1+3x2+0s1+s2=12 The augmented matrix will be :…

Q: 5. Find the general solution of 2 z' --z = 3 2 A. 9z = cx? + 2x5 B. z = cx2 + 2x C. 2z = cx? + 9x5…

A:

Q: Now, (E1 ±2E)z(k, e) = 0 (5.41) has the solution z(k, e) = (#2E2)*$±(e) = (#2)*¢+(e + /½k), 1/2.…

A: Question: Explain how is zk,l=∓2E212kϕ∓l the solution of E1±2E212zk,l=0

Q: what is the general solution of y (1 + 3 ) y - ju? =D4+3x + Ce =D4+3x Ce* %3D 4 3x + Ce %3D y = 4…

A: We will find out the required solution.

Q: y" - 5y' + 6y = 0

A:

Q: The solution of the following IVP:y' =y3 x e*, y(0) = 1 Select one: a. y=V4-2 ex2 O b. y=V2-ex? O C.…

A: Given IVP is y'=y3xex2, y0=1 We have to find the solution of the given IVP. Now y'=y3xex2…

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A: First I have find the roots of the auxiliary equation and then according to the roots find the…

Q: The partially completed table below shows the ten basic solutions to the following e-system. Of the…

A:

Q: y=c,J,(V3x) +c,,(/3x)is solution for x?y "+xy'+ (9x² –3)y=0

A: False

Q: a2/Find thegeneral Solution of くてメ+y+)d→(メ+3+) ニの

A:

Q: The solution of the IVP y"-3y-4y 0, y(0) = 0, y'(0) = 5 is: Select one: O a. y = et -e-t O b. y = e…

A: The given differential equation: y''-3y'-4y=0...(1),y(0)=0,y'(0)=5 The auxiliary equation of (1) is:…

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D2 – 26D+20)y = 0 ="

A:

Q: The particular solution (y,) of the equation y" + 6y' + 9y = 5 e2* is yp = e2* False True

A:

Q: 14 Jlgull find the solution y"-3y'+2y=e3t , y'(0) =0, y (0) =1 5et-2e 2t+3e 3t .a O et - 2e2t + .b O…

A: We will use Laplace transform to solve the differential equation.

Q: The solution of the IVP y"-3y'-4y 0, y(0)30, y'(0) =5 is: Select one: a. y= - e 4t + e b. C. y = e4t…

A: Heew we find the solution of the IVP y''-3y'-4y=0, y0=0, y'(0)=5

Q: What is the solution of the DE: x²dy + y²dx = 0? A. x+y = cxy C. -=c x y B. D. None of A, B, or C -…

A:

Q: ne solution of the IVP; 3y" – 11y' = 2x3 – 5x + 1+ 4y y(0) = -1.

A:

Q: Solution of the IVP,3y" + 5y' – 2y = 4x³. У (0) 3 0 y'(0) = 0

A: Ly''=s2ys-sy0-y'0Ly'=sys-y0Ly=ys Given differential equation is 3y''+5y'-2y=4x3 with y0=0, y'0=0

Q: Using the Separation of variable method to find the basic solution set for the following PDE: (a)…

A: (a) Consider the partial differential equation  t2utt−y2uyy=0 Use separation method  u=Tt⋅Yy Now,…

Q: Find a particular solution to y' – 2y + y = -13.5e". Yp

A:

Q: 4 - If a product is sold with 30% profit x TL, if sold with 10% loss, y is TL. So what is 3 (2y /…

A: Given Data: Let C be the cost price x=1.3C y=0.9C

Q: What is the general solution to y" (x) – y (x) = e ? O y (x) C1ze + C2e¬ + e² O y (x) C1e + C2xe* O…

A:

Q: Find the solution using Gaussian elimination: w + 2x − y + z = 6 −w + x + 2y − z = 3 2w − x + 2y +…

A:

Q: EXERCISE 4. Answers dy - y = a? ; y(1) = 3 4. General solution is y = x2 + Cx , and particular…

A: Topic  = Differential equation

Q: Exercises: 3. Determine whether y=x-1 is a solution of (v)+y=-1

A: Topic:- derivatives

Q: Using the method of variation of parameters, the form of a particular solution Yp of…

A: Here, the given DE is: (D2+25)y=4x2-3e5x

Q: ty" + 3ty + y = 0

A:

Q: Using the method of variation of parameters, what is the form of a particular solution y of (D³-…

A: Given that: 1. (D3-4D)y=x-3e2x2. (D2+2D+1)(D2+4)y=0

Q: What is the equation? y 0. 3 8 3. 18 23 33 Oy=x+3 Oy 3x Oy= 5x - 3 Oy=5x +3

A: (8). GIVEN DATA : Values of x & y                           TO FIND : Equation of the given…

Q: The appropriate form of the particular solution for y"-9y r+e3 is: Select one: Yp = Ar + B+ Cez %3D…

A: In this question we have to find appropriate form of particular solution given in the question.

Q: d²u ²u + əx² ay² 1. to be the form of the solution u? A. u = X(x)T(t) B. a = xt C. u = X(x)Y(y) D. u…

A:

Q: (ii) d²y Cx²e2x is the particular solution of 2 dx2 - 4y = 3e2x. Ур

A:

Q: 17. The equation y2 = cx is the general solution of: * (3 Points) O y = y/ 2x O y' = 2y / x O y =…

A: Here I am attaching image so that you understand each and every step.

Q: 4. Find the general solution of 2x³y' = y(y2 + 3x2) y²(C- x) = x3 b. y?(C + x) = x c. y?(C- x) = -x…

A:

Q: What is the product solution of the PDE-= 0? Bxe ay a Ae*+y b. Ae y C. Ae+y)* d. Aex-y)* e. None of…

A: We have to solve given problem:

Q: solve the initiat Valu Drobblema L'y 2eY (0)=L and Ylo)=0

A: Given d2ydx2=2e-xintegrating on both side∫d2ydx2dx=∫2e-xdxdydx=2e-x-1+c1dydxx=0=-2e-0+c1=0  (…

Q: a. Are X and Y independent? Show your solution. b. Find P[X > 0.3|Y = 0.5]

A:

Q: What is the general solution of y' = e2-y ? 2e2 + e" = C O e2r 2ey = C O 2e2= ey = C O 2 In e + e =…

A:

Q: Given the general solution y(1) = C,e- + c,e and the initial conditions y (0) = 7 and y'(0) = -6…

A:

Q: The values of m for which y = ema is a solution of y" – 5y' + 6y = 0 are %3| a) 2 and 4 О b) —2 апd…

A:

Q: Obtain the particular solution of (3x² – 2y²)y' = 2xy when x = 0,y = 1. a. x2 = 2y² (y + 1) c. x2 =…

A: Let's find.

Q: 5. Solution for px - y = eP is (a) y = cx² + e° (b) y² = cx + e° (c) y = cx – e° (d) xy + cy = x

A: Given :            The equation is px - y = ep   To find the solution of the equation px - y =…

Q: A В 2. n(A UB) = 25 n(AN B) = 5 n(A) = 20 Solution: y O x= 15, y 5 O x = 5, y 15 O x = 20, y = 10 O…

A: Formulae: n(A∪B)=n(A)+n(B)-n(A∩B) Given: n(A∪B)=25n(A∩B)=5n(A)=20 To evaluate x and y?

Q: 2. Determine whether v(x)= 2e*+xe* is a solution of y"+2y'+y=0

A: