X, + x, + x, + 2x, + 3x, + 4x, = 0 3x, + 5x, + 10x, + 8x, + 16x, + 24x, -16.5 %3D x, + 7x, + 26x, + 3x, + 10x, + 18x, 4x, + 8x, + 18x, + 12x, + 24x, + 53x, = -42.5 -61.5 x, + 5x, + 7x, + 5x, + 8x, = -5 2x, + 3x, + 10x, + 8x, + 12x, = -18

Q: find the general solution with egienvalues and the phase potrait

A:

Q: I don't understand how the Wronskian method is being applied.

A: Wronskian is a method by which in a differential equation we check the solution of the differential…

Q: Use Euler's method and 4 steps to approximate y(1)

A:

Q: i- 1 X1 104 0. X2 %3D Find the nontrivial solutions for 2 3 8 X3

A: Please refer the attached image for complete solution.

Q: why should y>0 ?

A:

Q: Use reduction of order method to solve + = 0, given that one solution is g(x)= e. Find first 1/2(t)…

A:

Q: How can you solve non-homogeneous 2nd order ODEs?

A:

Q: d²x + 2x = y dt? d?y +2y x dt2 d) x'(0) = y'(0) = 0

A:

Q: What is s.t in the solution?

A: It is ' such that' .

Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy %3D 0

A: To solve the given first order differential equation.

Q: Solve y"-(y-y, using fourth order Runge-Kutta method for a02 correct to four decimal places with the…

A: To solve the second order ordinary differential equation by fourth order Runge-Kutta method, convert…

Q: To solve: The system starting from xo = [1 1 1] in three steps and up to 6S computation by Gauss-…

A: I think the last equation of the iteration formula is not correct.  Gauss-Seidal method is very…

Q: Solve the following systemto find .r(T.02)using RK2 i(1) = 1 +.r² +r?. x(1) = -4, l = 0.01. a = 1…

A:

Q: Draw the block diagram of Gauss-Seidel Method with E< 0.0001 to solve 3x, - 0. 1x2 - 0.2x3 7.85 %3D…

A: x1 = (7.85 + 0.1 x2 +0.2 x3)3 x2 =(-19.3 + 0.3 x3 -0.1 x1)7 x3 =(71.4 - 0.3 x1 +0.2 x2)10

Q: 2. Determine the complete solution of xydy – (x + 2y)²dy = 0 %3D

A:

Q: Use Gauss-Seidel method to solve for x, X,, Xạ until the relative error falls below 5% Repeat with…

A:

Q: 6. (3х — 1)у' —D бу — 10(3х- 1)1/3. ANS. y = 2(3x – 1)1/3 + c(3x - 1)?.

A:

Q: O Use the bisection method to numerically solve the nonlinear equation .1.5 f (x) = 40x3 –875x+35000…

A: Rffthh

Q: The general solution of xy" - xy' + (24x* – 24 y = 0, is .a - C,xY,(2 /6x) b O C,xJ,(2 6x) +…

A: We have to find the general solution of the differential equation…

Q: Solve the following equations by Ferobenius' method: x(x-1)y +(3x-1)y'+y=0 x²y-5xy'+9y=0 x²y+6xy'…

A:

Q: What is the basic idea on which Euler’s method rests?

A: Query- What is the basic idea on which Euler’s method rests. Answer- Euler's method is a numerical…

Q: 1. Solve for the root using Fixed point method with initialguess of Tf = -100 Es =0.001%…

A: Since you have asked multiple question, so as per our guidelines we can solve first one only. For…

Q: (1- х?)у' — ху%3D 3x(1 — х?)

A:

Q: Section EXERCISE 8. dy dr Find the general solution of (2r-v) = 2y - 2y-

A:

Q: 3w -2x + y +z =4 -2z+w+ 4x -8y = -6 5w + 2y - z +2y =4 6z-y +3w-x=3

A:

Q: Use Newton-Raphson method to solve the system x* + y – 1 = 0 y* – x +1 = 0 with the starting value…

A: We will use the following Newton-Rapson formula for finding the roots of 2 variable equations.…

Q: Use the elimination method to find the general solution: x' = 3x – y, y' = 5x – 3y

A: Given system is   x'=3x-y  y'=5x-3y

Q: 1. Solve the following system 221 — 6ӕ2 — аз — — 38 -3x1 – x2 + 7x3 = 34 -8x1 + x2 – 2x3 = 20 using…

A:

Q: [o1] Write the following system X' = X - 2 3 X (0): %3D as a second order D.E , then solve it .

A:

Q: Find a root of the system of non- linear equations x +y = 3; xy 1 by Newton's method starting with…

A: here we need to find the root of given equation using newton's method. the solution is following.

Q: stem -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 al solution.

A:

Q: (3 + a?)y" + 3y = 0, y(0) = 0, y'(0) = 7. %3D If the solution is k=0 enter the following…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.