Q2. Calculate analytically the solution to the non-homogeneous system: * = Ax + Bu, y = Cx + Du A Xo =

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: The system that takes care of packaging the takeaway orders is in a bit of a mess after it detected…

A:

Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

A:

Q: Differentiate: 1. y = x*-x + 5 2 2. α : e+1

A:

Q: Find the quadratic y=ax2+bx+c that best fits the data points (−2,−37),(−1,63),(0,−43),(1,−5),(2,2) .…

A: To find the quadratic equation that best fits the given data points, we need to solve for the…

Q: 2x +4y-2= X -y +2 =-6 3x +2y-Z= 5

A:

Q: solve: y" - 3y" + 2y = e2x 1+ex

A: To solve the given differential equation :     y'''-3y''+2y=e2x1+ex We will use the method of…

Q: Solve (3x+y-z)p+(x+y-z)q=2(z+y)

A: To solve the given equation: 3x+y-zp+x+y-zq=2z+y

Q: Q: Solve (3xy+ y ) dx+(x +xy) dy = 0

A: 3xy + y2dx + x2+xydy =0 3xy + y2dx =- x2+xydy  dydx=-3xy + y2 x2+xy Put y = vxv + xdvdx =-3x.vx +…

Q: (x* + 1) (x²-2x ti>

A: Given  I=∫dxx2+1x2-2x+1 Apply partial fraction decomposition 1x2+1x2-2x+1=Ax+Bx2+1+Cx+Dx2-2x+1…

Q: Solve for x and y (3x5y = 22x+1 +22x-1 (3y5x = 22x+2_22x-2

A:

Q: If (x2 - y2) = 10 and (x + y) = 2, find x and y.

A:

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

A:

Q: 3x-6y+6z=-5 -2x+3y-5z=7/3 x+y+10z=3

A: 3x-6y+6z=-5  -2x+3y-5z=7/3  x+y+10z=3we have to solve this equation for x,y&amp;z

Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

A:

Q: Solve y" +3y' + 2y = 0

A:

Q: Х ахду + ди ду = 0

A: We have given an partial differential equation xϑ2uϑxϑy+ϑuϑy=0withu(x,0)=x5+xu(2,y)=3y3 To solve the…

Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: 3. Find the intersection of ₁ and ₂: ₁2+ 4y-32= -9 ₂: 4r +9y+2z=-1

A: Given planes equations:- π1: x+4y-3z=-9π2: 4x+9y+2z=-1

Q: The equation 4x2 + 4y- 8y + 4x + 100 = 0 is a/an

A: Topic = Conic section

Q: y³ (x + 2y) = C²y

A: The solution is given as

Q: ve : (2a²t – 2æ³) dt + (4æ³ – 6x²t + 2æt?) dæ = 0 | x - c 2x* + c 4 Option 1 Option 2 4x* + c a* +c…

A: Solving the differential equation by grouping of terms.

Q: eメ B-4D+

A:

Q: B. Solve the PDE: X daw ?хду ди = 0(u(x, 0) = x5 + x anqu(2, y) 3у3

A:

Q: d The Value 2X-24-2 4x+3-22 3x+44-32

A:

Q: Which of the following is the special solution of the equation y" - y = 3x + 2 using the operator…

A: The given equation is; y''-y=3x+2

Q: X-zy+13=0 y - 4x =17

A: The given equations are x-2y+13=0 or x-2y=-13.....(1) y-3x=17 or 3x-y=-17.....(2)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.