x"-2x O by separation of variables, we have -a. The solution ay Y is... (a)Y Ae y (b) Y Ae ay (c) Y A (d) Y Ae

Q: Use variation of parameters plem) to find a particular solution to y" – 2y' – 15y = e -3t %3D You do…

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Q: 3. Solve the value of x and y. xy + y = -4 2x? – 10y² = 8 Ans. x = 3, y = -1 %3D

A: The given system is: xy3+y=-4...(1)2x2-10y2=8...(2)

Q: Q: Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z = 1 x- y+ 5z = -2 2x + y = 3

A: The given system of equation is  3x + 2y -z =1 x - y +5z =-2 2x +y =3

Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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Q: 1. If y = r is a solution to (1 – r)y" - 2ry +2y = 0 Find the general solution of (1- r)y" – 2ry/ +…

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Q: What is the general solution of 2 (2y² + 5xy – 2y + 4) dæ + x (2x + 2y – 1) dy = 0 ? O 2z°y + r*y? -…

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Q: One ounce of solution X contains only ingredients a and b in a ratio of 2:3. One ounce of solution Y…

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Q: Q. No. 11 The solution of the DE 3ry" + y – y = 0 (a) yı = x³[1 – x + a² + ...], 42 =1+x – 2x² + ...…

A: It is given that

Q: The general solution of : y' = y In(y) %3D Select one: а. y = c ex b. V = e ex+c C. V = ex+c d. y =…

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Q: (x) + Find the general solution аху- х+у о у-xlncxЈtc 2 x² Ў= х²-хутуг у-х- х Нихте з y = x + y + y…

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Q: The general solution of : y' =y In(y) Select one: a. Inx+ b. C. y=c ex

A: using method of separation

Q: 14. Obtain the general solution of y" + 3y' - 4y = 0 a. no solution b. y = ce ** + c2e* c. y =…

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Q: Verity that y = 3e + 4x In x is a solution of y" - 4y' +5y = 0

A: The given differential equation is y''-4y'+5y=0 We have to verify that given 'y' is solution of the…

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: ) Solve using method of separation of variables the equation. 2x(δz/δx) - 3y(δz/δy) = 0

A: Note;- As per guidelines, we'll allow to answer only first question. Thank you

Q: Q Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z 1 x- y+5z = -2 2x + y = 3

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Q: The solution of y" = - y, y(0) = 1, y'(0) = 0 is %3D

A:

Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y…

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

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 general solution of : y' =y In(y) Select one: a. y= elnx+c O b. y= e*+c C. Od.

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Q: Using the method of Variation of Parameters, the form of the particular solution Y, for the NHLDE…

A:

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

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Q: ' = (3x^2 + y^2) / xy , y(1) = 1, solve for y when x = 2, and solve for y when x = 4

A: To solve the following problem

Q: Particular solution of y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

A:

Q: 1. ax? + bx – y – c = 0 ; constants: a, b, and c 2. y = x + C,e* + C2e¬2x ; constants: C1, C2

A: the given equations are: 1. ax2+bx-y-c=0 ; constants: a,b and c  2. y=x+C1ex+C2e-2x ; constants:…

Q: S 2x + y = 0 | 3x – 4y = – 19 2 I| O Yes, this is the solution. O No, this is not the solution.

A:

Q: (b) Use Separation of Variables (SOv) to solve i =2 (u, + u,) a, (r.t) 0 u(r,0) = r (r.0) - 0

A: Given                        utt=c2urr+1rur                                ...(1)and…

Q: y"+ 4y = x What is the particular solution y.? Yp

A: helar we have to find particular solution of the given differential equation. the solution is…

Q: 1. Perpendicular Lines Find the measure of BV. Solution: 1. By 2. DV= 3. 2x+ 1 = X+ 12 4. 2x+1-x= 5.…

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Q: Using the method of Variation of Parameters, the form of the particular solution y, for the NHLDE…

A: We have to solve the problem

Q: Obtain the particular solution of (3x? - 2y-)y' = 2xy; x =0, y=-1. A x² = 2y²ty+1) B x² = y²ty+1) c…

A:

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…

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Q: The general solution of : y'=y In(y) Select one: a. y= e*+c O b. v= ee*+c С. y =c ex d. y= elnx +c

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Q: The general solution of : y' y In(y) Select one: O a. y=ee*+c O b. y = c ex C. V3ex+c

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Q: 4. Separation of variables: Obtain the general solution. (1 – x)y' = y? a. y In[c (1 – x)] = 1 b. x…

A:

Q: The general solution of : y' =y In(y) Select one: a. y = elnx+c O b. y= ex+c O C. y = c ex O d. V =…

A: Given that, the differential equation is y'=ylny. y'=ylny1ylnydydx=11ylnydy=1dx Let u=lny,…

Q: %3D The solution of (x-2y Jdx +ydy =0 is Select the correct answer. O a. it cannot be solved O bilan…

A: Given differential equation is homogeneous first order differential equation which can be solved by…

Q: c is arbitrary constant, y = (x" +c)e * is solution for the differantial equation; 4- y'+ 3y = 3x'e…

A: The solution is given as

Q: Find the general solution by substitution or elimination Q6 A: = x -2 y +t di =x- y +2t *= -y +…

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Q: A particular solution of y-2y +y= e': Select one: a. At?e b. Ate C. Ae' d.

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Q: HW-1- 2dn Course Using the method of separation of variables, find the solution of the following…

A:

Q: A particular solution of y - 2y +y = e': | Select one: а. Ae b. Ate' С. At?e' d. At³e

A: Given differential equation is  y" - 2y' + y = et

Q: 8] Particular Solution of (D2+D-6)y = 0; y(0) = 0; y'(0) = 5 (a) y= Ce-3x (c) y=-e Cze2x (b) y=e-3*…

A: Explanation of the answer is as follows

Q: stion 3 Determine the form of a particular solution y, for y"-4y' +4y 5x2-6x

A:

Q: the general solution for x?y"+xy'+|4x² - y=0 , is .a y (x) =c,J, (2x) +c,J, (2 x) 4 4 .b y (x) =c J,…

A: Thanks for the question :)And your upvote will be really appreciable ;) Option (d) is correct

Q: Using the method of Variation of Parameters, the form of the particular solution y, for the NHLDE…

A: We first find basis solutions then we will given the form of particular solution given differential…

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: The particular solution of y' - y = -x when x = 0, y = 3 is a. y = 2x + 3e* + 2 b. y = 3x + 2e* + 1…

A: This question is based on first order differential equation.

Q: Find the solution to y' =    2y satisfying y(0) = 15.

A: Solve the following

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.