(D² – 3D + 2) y = 16 a. y = cj eª + c2e2 + 8 b. y = c1e¬# + c2e2« + 5 c. y = cieš + c2e² + 10

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: ッーメー 5 X-39) メ1に

A:

Q: (D³+D²-50 +3)y=e ર -3x

A:

Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

A:

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: Find all the possible points of intersections of 9x2 + 4y2 + 18x – 16y = 0 and (x + 1)2 + (y– 2)² =…

A: Given curves: 9x2+4y2+18x-16y=0   ········(i)x+12+y-22=5         ········(ii) From equation (ii)…

Q: S Vi+ V2+3xdx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: 20: a) Find variables if 3x + y 19 -17 2 [19 2x+3y]

A:

Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is…

A:

Q: 4. Express (-2/3 + j2) in rectangular form.

A:

Q: Hp()=D3x -4 and ryr) =2x=5x+1, fincl each Vaule. %3D

A:

Q: Solve Vx-2-630 and write out the check. Check X-2-6=0 x-2=6 2. ニメ=36t2 X=38 X-2ま3=し 1X= 38 メ-2)ぎ=し…

A: To check the result ,substitute x=38 in the given equation.

Q: solve: fx"- 4x-3y=et-6 5x+y + 4y = 8+ cost

A:

Q: 6y²dx- x(2x³ +y)dy = 0 a. x³yi = y#+ c b. x-3yi 2y+ c C. x³yi= yi+ c -y= 2y+ c d. x

A:

Q: Find the solution. (D2+2D-3)y = 0 A y = B y = c,e- +cge²2 D

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: = 31 P.T-C₂+ 2C₁ +4₂ + 8 C₂ + ... + 2^Cp h

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: Dª + 4D³ – 3D² − 2D + 1)y = 0

A:

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

A: Topic = Conic section

Q: Solve for the particular solution: (D2 - 5D + 6y) = 6x²-4x+9. O yp= -(1/6)x^2-x-2/3 O yp = x^2+x+2 O…

A:

Q: 2. Solve: z dy (6r + 1)y+ 3r² + 2y* = 0 dr

A: The given differential equation is (6x+1)y2dydx+3x2+2y3=0. Divide both sides of the given equation…

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

A:

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: Find the solution. (D + 602 + 110 + 6)y = 0 A y = c,e-2«, +c,e y = c,e '+c,e -3x c) y = c ,xe" + c,e…

A: Consider y=emx be the solution of the given differential equation. Differentiate the equation y=emx…

Q: Solve (D3 - 2D?)y = 0 a. y = C1+ C2 + Cze?x O b. y = Ce2x + C2 +C3X O c.y = C1+ C2X + C3e-2x O d. y…

A: Solution:-

Q: 4. Express (-23+ j2) in rectangular form.

A: Let's find.

Q: 4. Solve (D² -3D+2)y=2x²eªx +5e³x.

A: