Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁ + ₂ - ²x (c₂ + c ₂x + c ₂ x ² + c _x³) 2 3 2 y=e² (c₁ + c₂ + c₂x+c√₂x² + c_x³) 1 2 3 -2x ² y=e²¹ (c₂₁+c₂x) + e¯²³ (C3) C3 + c_x) -2x 2x * ( c₂ + c ₂ x + c¸ x ²) + c e е 1 y=e=²x (c₁

Q: Solve for x. E (7x)° (7x)\ I (4x)° (4x)) F (7x) (7x) O 20 О 10 O 22 O 5

A: Given a hexagon with interior angles 7x°,7x°,4x°,4x°,7x°,7x°.

Q: 2. obtain the general solution. a.(D² – 3D + 2)y 2x- 9x + 6x. b.(D + 4)y = 5e - 4x. c. (D² + 4)y = 5…

A: (b).   The given differential equation is: (D2+4)y=5ex-4x

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: 2+8r+ 15 0 (x+ 5)(x+ 3) =D0 (x+5)=0 or (xr+ 3) = 0 x=-5 or x= -3. divide both sides by 2 e-factorise…

A: Please refer to the image below

Q: What are the zeros of P(x) = (x - 3)(x + 1) (x – 1)? %3D

A:

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

A:

Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Solve for x: 4x - 4xy +1-y = 0

A:

Q: 5x-y2 2xy+3y2" c. xy? - 2x5 + 3y³ = C d. xy? + x5 + y3 = C 29. Find the general solution in implicit…

A: We have to find solution of exact differential equation.

Q: ) Find the points of intersection between −4x − 8y = 2 and 2x = 8 − 4y. b) Find the points of…

A: Intersection of two lines

Q: ta = -j- 4k and b = - 4i +43 - k. Find 3ā b.

A: TOPIC:- VECTOR ALGEBRA

Q: y" – y = 2xe". Y' %3D

A:

Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary…

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the…

A:

Q: Evaluate both sides of the following equations and state whether they are true or false 15(2)j² =…

A: Given:  i) The equation ∑j=1k52j2=102n-1 ii) The equation ∑j=1n3n-2=n3n-12 Determine whether the…

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: 2. Solve (y + x²y) dy dr = 1

A:

Q: dzy dy +y

A: Given differential equation is : d2ydx2+dydx+y=0 The given equation can be written as , D2+D+1=0

Q: 5 Solve for both x and y in ABCD. X = y= A B (3x - 32)° 4yº (y + 87)° D 2x C

A: fro properties we know that (3x-32)°=2x°  and  (y+87)°=4y°

Q: e 2x+e-2x The f e2X -e dx is 2x { A} - In ,2x+e-2x + C {C} -2 Inle2x — е -2x| + С ,2x– -2x {…

A:

Q: Solve for x and y and determine if e 1 f 16x - 2 VDAS 4x+ 8y + 1 |12y-9 f 6.

A:

Q: Find the BxA where A=3j-i-2K and B= 5i+-3K

A:

Q: Solve for yy. −4y+9(−5y−3)=−8−3(−2−y)

A: We have a linear equation in one variable. As a first step let's collect all the terms that contain…

Q: Solve(x√x² + y² + y)dx + (y√x² + y² + x)dy = 0 by Exact Method

A:

Q: Solve 3xy + y + x²y¹ = 0 (x² + cx) y³ = −1 (y² + cy) x³ -1 a. b. - c. (y² + cy) x³ = 1 d. (x² + cx)…

A:

Q: x=2t+1,y=4t−3.

A: Dear student, Since what is to find is not mentioned in the question and you have posted a question…