The homogenous D. E. with constant coefficient of at least order which has the solution y = 2x? + 3e* + ecosx is O p6) 12y" = 0 5y(5) + 9y(4) + %3D + 3y(5) + 4y(4) + 2y" = 0 %3D y(6) 4y(5) + 9y(4) + 5y" = 0 %3D (9) O 5y5) + 7y(4) + 5y" = 0 5y(5) 10y" = 0 + 9y(4) +

Q: 9) =tx-9i Find g8a-16 x-9,Find g9 -16) %3D -16) sa-16

A: Given,

Q: Show that general solution of the second-order difference equation: ya+2 - Gyk+1 + 8yk = 2+ 3.k –…

A: Solve the second-order difference equation:                      yk+2-6yk+1+8yk=2+3k2-5.3k Find the…

Q: 17. Find the general solution of* (4D4 + 4D³ – 3D² – 2D + 1)y = 0 y = (Cz' + C)e + (C3a + C4)e" y =…

A:

Q: Find the first piece S1 (x) of a natural cubic spline that interpolates the set of points (0,1),…

A: Formula for cubic spline interpolation is…

Q: 19. Find the general solution of (D4 + 6D³ +9D²)y = 0. 2 a. y=C₁ +C₂x+C3x² + c4e³x C46 Y = C₁ + C₂x…

A:

Q: 15) f(x) = 5x³ + 12x2 – 36x – 16; 2 3 A) -4, 2 5° 1 B) -4, 2 3 C) -4, -1 -4, –1 5 -4, 2 O A Ос O D

A:

Q: If f (x) = 4x + 3x2 - 5x +20 and g (a) = 9x - 4x2 + 10x- 55, what is (g-f) (x)? 13x – a2 + 5x – 35 A…

A: See the details solution in below

Q: - 3t -6t + 6' t2-3'-t3 - 4 -6 -6t2 - Let 7(t) = %3D | Find 7 (t) 7' (t) =

A: We have to find the derivative of the vector function

Q: Find the solution of the D.E. below: 2(2x² + y*)«x – xycdy = 0 ... x* = c (4x²+y²) x* = c(x?+ 4y?) B…

A:

Q: 2x₁ + x₂ + 3x3 = 1, 4x1 + 6x₂ + 8x3 = 5, 6x1 + ax2 + 10x3 = 5, ollowing values of a will there be m…

A:

Q: Find particular Solution of y-2y'ty =x-6x +2xe a 2.

A: Solution.  Given the differential equation                   y''-2y'+y=x2-6x+2x2 ex…

Q: 17. Find the general solution of * (4D + 4D3 - 3D² – 2D+ 1)y = 0 y = (Cr+Ca)et +(Ca + C)e y = (Cr +…

A:

Q: 3y2+8zy y' = 4x2+2zy denkleminin genel ҫӧzй О а. х^(2)+4ху-су О b. 4y^(2)+ху-сх О с. 4у^…

A:

Q: 2:2 + [3] x + 2 = [0] in Z6.

A: The solution given below with attached file.Explanation:

Q: Select ALL of the equations that have a vertex at (3, 2). Oy = x- 6r + 11 Oy = (x+ 2) (r-3) %3D Oy=…

A:

Q: O vo) - 5y + 9y(4) + السؤال .8 The homogenous D. E. with constant coefficient of at least order…

A:

Q: 2. x + y – z = 2   2x + 2y - 2z = ­6  5x + y – 3z = 8

A:

Q: Let (x, Y,) be the solution of the following equations (2x)" = (3y)m3 3Inx = 2lny In 2 %3| %3D Then…

A: Introduction :

Q: 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 1 2y = (2x+3) 2 In (2x+3) In(2x + 3) 3 y=…

A:

Q: Find the general solution to y = c₁e¹¹ + c₂e(8-√³)² + cze(8+√7)₁ Oy=c₁e¹¹ + c₂e³ + c3e-81 Ⓒy=c₁e¹ +…

A:

Q: Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 1 2y = (2x+3) 2ln(2x + 3) y= In(2x + 3) 3…

A: Advance maths   Differential equations

Q: Solve for y 512y12x+12 529y2x+2 V4y8x+4 Show all steps! 32y5x+5

A: The explanation of answer as follows

Q: Find the general solution of dy/dx = (x - 4) / (6 - 5x + x^2). O y = 2 In(x - 2) - In (x - 3) + C y…

A:

Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

A:

Q: -5= =DS"S"?{(m-3)x²+³"(m - m x- ? y)'-4myx] dydx

A:

Q: Q3//A/By using co- factor 1 -2- if AD find A1 =? %3D 3. 2-

A:

Q: Q2) n(x) = x1 , kx) = (x – 1)/2 , %3D %3D | 1-(8 + x) Find a formula for ( monok).

A:

Q: What is the sum of 7x*+2xy-5y and 2x+3xy+2y7 14x +6x3y2-10y 14x +6xy-10y 9x8+5x3y2-3y 9x*+5xy-3y3

A:

Q: Question I Minimise Z - 5a1 + 10r2 Subject to: a1 + 2x2 < 12 a1 + xg 2 6 a1 – 2x2 2 8 #1, x2 2 0.…

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

Q: find The Six Solutious of The eq- 6 Z+27+2

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.