x+y+z- 2t = -4 x– 2y + 3z + 4t = 10 2x + 3y – z + 2t = 9 4x – y + 2z – t = -7

Q: x + y + z + w = 6 2x + 3y – 3x + 4y + z + 2w = 0 x + 2y - z + w = 6 w = 12 %3D %3D

A: The given equations are solve equation (2) to find the value of x Substitute the value of x in…

Q: 2.x' + y' + x + y = t² + 4t x' + y' + 2x + 2y = 2t² – 2t

A: Given system is first order non homogeneous system of differential equations. Each x(t) and y(t) has…

Q: z" + 6z' + 8z = e – 6u(t – 3); z(0) = 2, z'(0) = - 6 %3D

A: Laplace transforms

Q: The figure shows the graph of two perpendicular lines.Which of the following pairs of equations…

A: GRAPH

Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

A:

Q: y?e2x + xy³ – 1 = 0 y2+2ye2x 2e2x+3xy 6. ans. y' = %3D 10-еУ 7. хеУ + Зу — 10х — 0 ans. y' хеУ+3

A:

Q: (x^2)y''-2xy'+2y=0; y(1)=4, y'(1)=7   Find particular solution that satisfies the given condition

A:

Q: L1:x = 3 - t, y = 4 + 3t , z = -1+ 2t %3D L2: x = -2 + 3s, y = 3 – 2s, z = 3s %3D

A:

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A:

Q: w + x + y + z = 13 2w + 3x - z =- 1 3w + 4x + y + 2z = 10 w + 2x - y + z = 1

A:

Q: y''-3y'+2y=5e^3x,y1=e^x

A: Reduction of order is a very significant and basic method to solve higher-order linear differential…

Q: x²y" – 2y = 0 %3D - x²y" + 3xy' -- 3 y = 0

A:

Q: (z-1)y"+3y-0; y(0)-2,y (0) =3 hot ith A y(x)- 2 1+ 1+3+ - B. y(x) - 2[1++ -3 (a ++ 4 D. u(a)- 21++…

A: Given differential equation is: (x-1)y''+3y=0, y(0)=2,y'(0)=3 Here P0(x)=x-1⇒P0(0)=0-1=-1≠0 Let the…

Q: Solve the system of equations.

A: Solution; Consider the given system of equations; x + 0.y -z + w = 22x + y + 0.z -2w = 120.x + 3y +…

Q: x+ y- z= 0 2x + 4y - z= 0 3x + 2y + 2z = 0 (b) X + 2x, – 3x, + 4x, =0 2x, – 3x + 5x3 - 7x4 = 0 5x, +…

A:

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A x = y-(1 + e'-*) B y = x-2(1 + el+x) © y = x-'(1 -…

A:

Q: 3 x = y + z- w = 2 -x + 2y - z - w = -1 2x - y - z+ w = 4 x + 3y - 2z - 3w = 6

A: 3

Q: 2t + 7 f(t) = t- 3 %3D h(n) = - 2n2-3n+1 %3D f(h(-1)) =

A: Here we have two functions f(t) and h(n), we want to find the value of f(h(—1)). To find f(h(—1)),…

Q: Find y' for x^4y^3−3x+2y=24 at the point (−2,1).

A: We have, x4y3−3x+2y=24 Using the chain rule of differentiation,…

Q: Find a particular solution to y"+6y +9y = 5e-3t t2 +1 Yp=

A:

Q: (x + 2) y' = xy + 23-3x-6, when x 0, y 1 O y = 2-e O y = 3- 2e* O y = 1+2e* O y = 3+ 2e * %3D

A: Solution of differential equations

Q: write the augmented matrix associatedwith the given system.

A:

Q: x+ y- z=0 2x – 3y + z= 0 x- 4y + 2z = 0 (a)

A:

Q: Find the solution. y' = 5y + e-2x y-2, y(0) = 2 -15x 13e A) y = + 3e 2r1/3 23 139e 15x – 3e -2x \1/3…

A: Given differential equation is in the form of Bernoulli's differential equation.

Q: b. y"-3y" + 4y = 0, y = 1, y'= -8, y"= -4 when x = 0 %3D c. y"+y"-0, y(0) = 2, y(0) = 1, y"(0) = -1…

A:

Q: D. 8y = 4x3 - 6x² + 3x + 8e¬*² В. 4у %3D 2х2 — х +3+е-*? Find the particular solution for y' = x3 –…

A:

Q: y = -2x-22 tl X-2y-z+2 (37) Zニ X-y 2x +y +2z = I x+2y +z=2 2 -L

A:

Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

A:

Q: (2āx – 2āy – 2āz). (x1 + 1)āx + (y1 – 3)āy + z,āz = v12 * d %3D 2x, - 2y, - 2z, + 8 = v12 * d → -3 +…

A: Explanation of the given expression. 2a¯x-2a¯y-2a¯z·x1+1a¯x+y1-3a¯y+z1a¯z=12*d

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: ーX + 2y - z= 0 ーX - y + 2z = 0 Z = 1 2x

A:

Q: Use the method of substitution to solve the system.

A: Given the equations We need to solve the above equations by method of substitution.

Q: Q(5) Find the general solution of (r+2y- 4)dr - (2r +y- 5)dy = 0.

A:

Q: HW.3 Find y (2.1),y(2.4), y(2.6) For the follomsing table 1 2 3 4 3 -1 10 15

A: We can solve this by using lagrange interpolation formula

Q: Use matrices to solve the system.

A: given system of equation:2x+y+z=0x-2y-2z=0x+y+z=0 we can represent the system of equation in the…

Q: -2.3y + 0.24z = - - 3.0 2x+0.2y + 3.0z = 7.4C +0.5y + 1.4z = 0.10 uss-Seidel method stem of…

A: Given as, 1.2x-2.3y+0.24z=-3.02-1.2x+0.2y+3.0z=7.403.4x+0.5y+1.4z=-0.10

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-2(1 + el+x) B x = y-(1 +el-x) © y =x-'(1 -…

A:

Q: olve the equation for 0 < 0 < 2n 4cos 0 =-2 T 4T 3T A) 2 3 2 2T B) 3) T 2n 4T C) 2 3 3 2n 4t D) 3 3

A: The answer is

Q: -x + 2y - z = 0 —х — у+ 2z%3D 0 - X 2z = 0 2x Z = 4

A:

Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

A:

Q: v - 2w + x + 2y - z = 6v +3w- 2x + 4y - 3z -v + 2w – 3x + 4y – 5z = Ev + 13w – 2x + 8y – z = -

A: Gauss Jordan Method: Gauss-Jordan Elimination is a method for finding the inverse of any invertible…

Q: E. 2x-3y + z = 10 %3D y + 2z = 13 %3D z = 5 II wo - x + y - z = 4 3x + 2y + 4z = 17 -x + 5y + z = 8

A:

Q: Y+ 2 - 3W -2 %3D 3x +y -z + sw - 0 2x + y - z t 4w : o * + y -2 + 3w :0

A:

Q: 1. V2 3y 8-x2-y2 رار 0 0 x2+3y2 dzdxdy

A: We have to evaluate the integral.     According to our guidelines we can solve only one question so…

Q: Distanced is given by the distance formula.

A: Given points are P1x1,y1 and P2x2,y2. The distance between P1 and P2 is "d".

Q: (a) z'y" - ay + y = 2r, a> 0 (b) ry"- 4ry + 6y = a, z>0

A: We’ll answer the first part of this question since due to complexity. Please submit the question…