20. In question number 19, what is its particular solution? " (D² – D - 2)y = 1– 2a – 9e- Yp = 3e- + x – 2 Yp = 3xe-" + x – 1 Option 1 Option 2 Yp = 3e- – 2x – 2 Yp Зае - 2а — 1

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: (v³x - 2x4) p + (2y4 - x³y) q = 9z

A:

Q: 2) Use y = ax to solve 2'y" - xy' + (x+1)y=0.

A: The given differential equation is: 2x2y''-xy'+x+1y=0. We have to solve using y=∑n=0∞anxn+r.

Q: If A = 1 -2 3 and B = 1 -2 4 L -4 2 5. 3 5 1 4 find A"B and (AB)". Show your solution.

A:

Q: 28. 2y (3)-y"-5y' - 2y = 0 29. y(3)+27y=0

A:

Q: Is (2, –1, 3) a solution of 3x + 5y – 2z = -5 2х + Зу- z 3D —2 2x + 4y + 6z 18? Replace x with 2, y…

A: Consider the system of equations. 3x+5y-2z=-52x+3y-z=-22x+4y+6z=18 And, the solution of the system…

Q: 5 + 4 dx

A:

Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =…

A: ANSWER: Option 3.

Q: x2 + 2y2 + 3z2 = 1

A:

Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

A:

Q: 1. бу" — у' — у — х3

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 3. Find the general solution of 2ху? + 4 %3D 2(3 — x?у)у'. А. X2у2 + 4х — бу %3D С B. x²y? – 4x – 6y…

A:

Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

A:

Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: If the general solution of (2+²-3y2) y'= 2xyżsy"In|y"+xª = Cy", what is the value of b? (A) 3 B 2 -1…

A:

Q: Find x and y. if (x y) (² _-3) = 4 -1 = (2-4).

A:

Q: 5) To find B from Mathematical equation Y = V5X + 3X +1 %3D N=Y-4Z+C? B =N X+ Y

A: Given:  Y=5X+3X+1N=Y-4Z+C2B=NX+Y To determine: The value of B from Mathematical equation.

Q: 21-[3+5y-3(y+3)]= -3(3y-6)-[5(y-1)-8y+4

A: 21-[3+5y-3(y+3)]= -3(3y-6)-[5(y-1)-8y+4 We need to simplify the above equation.

Q: Q1: If y" + y = x², then yp = Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) c₁e* + c₂ex +…

A:

Q: of the form ₁ = x²(1+₁x + ₂x² + 3x³ + ...) Enter C1 = Find the solution of 4x²y" + 6x²y + y = 0, x>0…

A:

Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

A:

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: Solve the following DE using the method of undetermined coefficients: а. у"-Зу'+2у%3D20хе Зх b.…

A: To find - Solve the following DE using the method of undetermined coefficients : y'' - 3y' + 2y =…

Q: 9. y" - у' - 2у 3 -2t + 4t?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

A:

Q: Solve the following DE using the method of undetermined coefficients: a. y"-3y'+2y= 20xe3x b.…

A: a) y''-3y'+2y=20xe-3x Auxiliary equation m2-3m+2=0 m2-2m-m+2=0 mm-2-1m-2=0 m=2,1 yn=C1ex+C2e2x and…

Q: О в. (0, 2), (0, —2), (V3, -1), (-V3, -1) Ос. (2,0). (0, —2). (—V3, —1), (—1, —V3)

A:

Q: Which of the following is the general solution of x 2 V) 2 -xy'-56x 2 =0? O a.…

A: We have to solve given problem: Note: given differential equations is wrong. According to options…

Q: 4. у + 2x &y(1) = 2. y3

A:

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: C. Find the length of a, b, and c of the following hyperbolas. 1. y?-x2 = 1

A:

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

A:

Q: Consider the equation y" - Oy' - 9y = 3x² – 3e³x - 7xe³ - 9e-2. According to the method of…

A:

Q: ii) y" - 3y'-4y = 2x2-3.

A:

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.