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: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

A:

Q: 2. Page 922 #4 a. Solve by hand using Gaussian elimination with matrices. Show all the matrix…

A: Use Guass Elimination to solve given system of linear equations.

Q: Which of the following is a solution of the following equation valid near the origin for x>0? x²y' +…

A: heresolution y=9c'-6c'x+2c'x2+c"e-3xx2when x>0 but near to 0then e-3x→1theny=9c'-6c'x+2c'x2+c"x2

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

A:

Q: Express y in terms of x in the second equation.

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed…

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

A:

Q: Solve (x²y + y³) dx 5(1+x²y-²) 18 18(1-y²x-2) 5 a. b. C. d. X Y X y = 18(1-x²y-2) 5 5(1+y²x-²) 18…

A:

Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

A:

Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

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

A:

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

A: We need to find,

Q: Determine a function that will best match the following points: (1/2, 0), (2 ½, -2), (4 ½, 0), (7 ½,…

A: We find the Lagrange interpolating polynomial. We have: x x0=12 x1=212=52 x2=412=92 x3=712=152…

Q: 6. (t -1)+(2 8. (2x² +5xy+ 3y²)+(8x² –7y²)

A: 6.

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: y(4) + 3y" - 4y = 0

A:

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

A:

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: 9) (4y? + 10xy – 4y + 8)dx + (2x² + 2xy – x)dy = 0 ; when y(0) = 1 %3D

A:

Q: 1) 2x+8y=20 y=2

A: 2x+8y=20..................1y=2.............................2

Q: Solve: x-2y=12 -3x+y=-1 Student Work: x-2y-12→ 2(-3x+y=-1)´ +(-6x+2y=-2) x-2y=12 -5x=10 -5 -5 x=2…

A:

Q: Verify that y = + C2x + C3xlnx + 4x² is a solution of x³y"" + 2x²y" – xy' + y = 12x²

A: Given y = C1x+C2 x+C3 x lnx +4x2y' = -C1x2+C2+C3 lnx + C3+8xy'' = 2C1x3+C3x+8y''' = -6C1x4-C3x2

Q: 6. 2 a. Solve the equation 3(3x² + y2)x - 2xydy = 0. x² = c(9x² + y²) x² = c(3x² + y²) b. C. d. x³ =…

A: The given differential equation is a homogeneous differential equation. We can solve the given…

Q: 3) x=y+x +3x² – 2x

A:

Q: 8. In the quadratic equation (y + 5)(y -5) = 4 what is the values of a, b, and c? a. a = 1, b=5, c =…

A:

Q: (5х + 1)х + 3)2 y = (x4 + 6)(x + S)

A: Given data:     The given expression is:. The expression for the given function can be written as,…

Q: a is x3+y3=2xy and b is same equation at point (2,2) sorry if the picture is not clear

A:

Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: -5x y"+ 3y- 10y = - 14 xe

A:

Q: -2 (3z') (3z")y z (2y²)(3y")z ) 21

A: We will find the solution.  We know  , let any number  x      If  (x)-2 = 1/ x2

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.