Exercise 2.5.5: Set up the form of the particular solution but do not solve for the coefficients for y(4)-2y"+y" = ex|

Q: xy [zy- a. In(xy)=2(x - y) +c b. In(xy)=x-2y+c c. In(xy) = 2y-x+c d. In(xy)=x+2y+c

A:

Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

A:

Q: If a, ß and y are the roots of the equation, x³ - x - 1 = 1 + a 1+ B + 1 - α - 1- B + 0, then 1 + y…

A:

Q: Find the linear first equations 15 3 ydx+ (xy+2x-2y)dy3D0

A:

Q: wouldn't there be a t in the second term of the general solution?

A:

Q: Find all solutions of the z2 + 2z + (1 – i) = 0.

A: we have to find all solutions of the z2+2z+(1-i)=0 .

Q: a. Calculate the discriminant.b. Determine whether there are 0, 1 or 2 real solutions tof (x) = 0

A: We know that, for a standard equation of quadratic is given as  ax2+bx+c=0          ⋯⋯1 The…

Q: 9] Which of the ordered pair is a solution of 2x - 3y < 6? (3, 0) (1, 2) (5, 1) (7, 2)

A:

Q: Solve the difference equation In+2 + In+1 – 2.x, = 0 subject to the initial conditions ro = 1 and r…

A: To find- Solve the difference equation xn+2 + xn+1 - 2xn = 0 subject to initial conditions x0 = 1…

Q: Solve (x – 2)(x + 1)(x – 4) = 0

A: Question:- solve x-2x+1x-4=0 Here, x-2x+1x-4=0 or we can take it as:- x-2=0 or  x+1=0 or  x+4=0

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

A:

Q: Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

A: To Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

Q: Solve the ODE y(4) - 4y" + 8y" - 8y + 4y = 0.

A:

Q: -5x +3x – 28 dx (x – 1)(x² + 9)

A:

Q: Use the method of separation of variables to solve : xyu̟ +2u, = 0, Q.4 U(x,0) = 3x*.

A:

Q: B = . [1 2] c=2 c = ; If A = 3 4 %3D II. And X = [x3 x4] Solve each of the following equations: 1.…

A: Given, A=1234, B=3110, C=1224, X=x1x2x3x4

Q: 2. Show that x4 - 3x - 1 has a solution between 1 and 0, and another solution between 1 and 2.

A:

Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

A:

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: 1 p) Find the general solution of the 5. order linear homogeneous diferential equation. y (v) -…

A:

Q: x2 (4) Calculate the result of the equation Having x= 0 , 1 , 2 /5+ x

A:

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

A:

Q: 6. Find the positive number that when multiplied by 15 is equal to its square subtracted from 34.

A:

Q: Find the particular solution of

A:

Q: Show that the equation 2³ + 3y3 = 923 has no solution in integers, other than x = y = z = 0.

A: Suppose that, x3+3y3=9z2 has a non-trivial solution, that is other than (0,0,0), and minimal.

Q: 4 Solve the following y + xy = xy 01+y³e³²/2 = Ce³z² /2 01-³e³/2 = Ce³²/2 01-y³ = Cy³e³²/2 01+y³ =…

A:

Q: Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant…

A: Given that y1=-3x2e-3x and y2=7x3 are solutions of a linear homogeneous equation with constant…

Q: Prove that the equation x² + 3y² = 2 has no integer solutions.

A:

Q: Determine at what point(s) the graphs of f(x) = /2r+6 and g(z) = vAz – 8 intersect. Let f(z) = (10r…

A: Let us consider, To find point of intersection, solve these two equations: