9. Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" + 6y' + 5y = −3x +2 a. y = C₁e-2x + С₂e¯* + b. y = c. y = d. y = C₁e-2x + С₂ex_ -x+ 11 C₁e-5x + С₂е¯* - 11 C₁e¯5x + С₂ex + x + 15 NIS 2/5

Q: (v³x - 2x4) p + (2y4 - x³y) q = 9z

A:

Q: y 2x + -4x - У Зу

A:

Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

A:

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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: 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: 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: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

A:

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: Linearize the non-linear equations: 1. y= a+ bx+cx^2 2. y=x/(a+bx) + c

A: According to the given information it is required to linearize the given non-linear equations.

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

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

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

A:

Q: Find the characteristics equation of x²r+2xys+y²t

A:

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

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: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

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: 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: y³ (x + 2y) = C²y

A: The solution is given as

Q: Y= (10x; + x, } (5x, + x}} 15

A: We have to differentiate partially to this equation:

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: 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: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

A:

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

A:

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

A:

Q: Determine the quadratic equation that best fits the given set of data: (1, 2), (2, 3). (4, 3),…

A: The provided data points are interpreted in the form of as follows:1223436478