az Solve (x² – y² - z²)p + (2xy) q = 2xz where p = əz II

Q: Solve for x.  Solve for y.

A: Given:

Q: Solve for y 1y -8 > -6

A: We have to solve  1y - 8 > - 6 Then ,  y - 8 > - 6

Q: Solve 4y" + 4y' + 17y = 0, y(0) = -1, y'(0) = 2. %3D

A: We will find out the required solution.

Q: Find the general solution:  2. xy' - y = √x^2-y^2

A:

Q: Q.3 Solve х-Зу+4z %3D 5 2х+y+z %3D 3 4x+3у+5z %3D 1

A: Firstly , we will eliminate X using equation 1 , 2 and 1,3 . Then eliminate y from the remaining…

Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

A:

Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: y" + y' - 3y = 4sin 2x

A:

Q: sidy solves the equation 2x+5 = 3x – 7 by finding the point of inters = 2x +5 and y2 = 3x - 7. She…

A:

Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: Determine whether y, = 3e2t – e-3t and yz = 2e-3t – 6e2t form a fundamental set of solutions. HOW…

A: We have to determine whether the given set of solutions y1 and y2 form a  fundamental set of…

Q: Solve by using Gaussian Elimination:                 2X   +   3Y   -    Z    =    16…

A:

Q: Find all solutions of y'= 3y. Which solution satisfies y(0) = 9?

A: Given differential equation is y'=3y. To find all solutions of y'=3y which satisfies y0=9. Solution:…

Q: Solve second order DE y" - 4y' + 4 = 0

A:

Q: Q3. Solve he 1X+41>2 yollowing ineqralitisom2. . Ix -1|s /2x+3/ m/onli 4 1x-31 d. X+3 e. x-8x+7<o 2.

A: Please post questions with multiple subparts separately.a) x+4≥2We know that,If x≥a, a&gt;0then,…

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: 3. Solve for y. yo 11.2 I1.2

A: Let's find.

Q: 9 y y' - -y x2 and find the solution that satisfies y(1) = 1.

A:

Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: Solve the equation on the interval 0s0< 2n. 4sin20-3 =0

A: Given,           4sin2θ-3=0

Q: 2xyy′ = y2 − 2x3. Find the solution that passes through the point (1, 2).

A:

Q: Solve y+2+ 2yn++Y =n with Yo 0 = y,.

A:

Q: $] Solve y"-3y' = 2e* +5sin 2.x

A: We  have to solve the differential equation   y''-3y'=2e3x+5sin2xHere the homogeneous part  is…

Q: Solve the Coout's 2n, toX t X3 = -3n, +4%2 -2nz lineas method. uquation by ニー3 %3D 6. 1)

A:

Q: 5. Solve y" - 3y' + 2y = 2et, y(0) = 2, y'(0) = -1

A:

Q: 7. Verify that y = x2 - 1 is a solution of (y')* + y? = -1.

A: Given- y=x2-1 To verify- That the above function is the solution of y'4+y2=-1.

Q: 4. Which is the solution to the equation 2sin22x + 3sin2x + 1 = 0, x = 6

A: Substitute p for sin 2x in the equation and then solve for p. Factorize the equation by first…

Q: Solve y"-4y'+13y= yo)=-I ,y'co)=2

A:

Q: Solve for x. 2(x +3)2-5 = 1 3 V3 No.Real Solutions 3. Botn A and B

A:

Q: ai) Solve explicatly dy zy 2X txe 17 =

A: Given equation is dydx=2yx+x2ex, with initial condition y1=0. Solve explicitly.

Q: b, Solve dy- y -n3y²--x5 finding particular solution.

A: Solve DE

Q: 8. Solve the IVP y" – 2y' + 2y = 0, y(0) = 2 and y'(0) = 0.

A: Solution is y= ex( 2cos x -2 sin x)

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given,…

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

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x 2, y = 1.

A: Given differential equation 2ydx=3xdy and when x=2,y=1 The objective is to find the general…

Q: Solve using Gaussian method 5x+2y+z=-11 2x-3y-z=17 7x-y=12

A: Consider the system of equation.Rewrite the system of the equation in matrix form as follows.

Q: Solve by the addition method    x+2y+3z=-5 2x+y+z=1  x+y-z=8

A: To Determine:   Solve by the addition method

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

A:

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: y" + 3y' + 2y = 0 %3D

A: Given the differential equation is y" + 3y' + 2y = 0. Here the auxiliary equation is  m2 + 3m + 2 =…

Q: Зх + у — 2z %3D3 Solve {x - 8y – 14z = –14 x + 2y + z = 2

A: Given The given equations are 3x+y-2z=3x-8y-14z=-14x+2y+z=2

Q: Solve by the substitution method. 2х — 5y %3D 8 x = 4y + 4 (х, у) %3

A: We have to find value of x and y by substitution.

Q: Solve using elimination x + y + z= 6 5x + 2y + 3z =8 6x + 3y + 8z = 10

A: The equations are given by,

Q: SOLVE 2xyy' = 1 + y² w/ x = 2 and y = 3

A: Solve 2xyy'=1+y2 where x=2 , y=3   dydx=12xy+y22xy       = 12xy+y2xdydx-y2x=12xy-1

Q: Solve by the substitution method 3x + 2y = 4 and 2x + y = 1.

A:

Q: y" + y' - 3y = 4sin 2x %3D

A:

Q: 5. ( : Solve the IVP: r²y" = (y)², y(1) = 1, y'(1) = 1.

A: A differential equation with an initial condition is called an initial value problem. The initial…

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

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

Q: Solve by Z method dz 2. 1-2²

A: