Q4) If A is 5 × 5 in a homogenous system X' = AX, write the form of the general solution if the eigenvalues {11, 12, 13, 15, A5} satisfying the following: a ) λ, λ2 are complex (λ λ2α βί) 13, 14 are complex (13, 14 b) 11, A2 are complex and 13 = a2 ± Bzi) 14 and real.

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A: We have been given an equation with fractional exponents that we need to solve.

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Q: Cim 2x-y?

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Q: Solve the following PDE 2ux + yuxy = x?

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A: First multiply Both sides by -1.

Q: The value of the root of the equation Jx+x²=3 using the iteration method +X+

A:

Q: Find the root of the equation X2 - 4= In X , use X0=1.000, Solve by Simple Iterative method.

A: Given equation is x2-4=ln(x) So, function is f(x)=x2-4-ln(x) Initial approximation is x0=1.000 Now…

Q: - Solve for x: x-1 x- 3 10 -,xg -2, 4. 3 x+2 x- 4

A: Ans:-  X = -4.058 , 4.558  Take the LCM and proceed by cross multiplication....as I have done...go…

Q: Using Bi-section method, find a real root of the equation x3 – x -11 =0 between 2 & 3 after 3…

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Q: Please show and explain the steps! Solve only (a), (b), and (c)!

A: It is a basic application of probability . It is widely used in statistics .   x1 0 1 2 P(x1)…

Q: Q1/ A/ Solve for x the following and show its solution set 1. >5

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Q: x³ +1= 3* How many roots does the above equation have between -5 and 5?

A: According to question given thatx3+1=3x

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A: Let's solve.

Q: Q2:al Use separation of variables to find the solution of the following Initial Value Problems.…

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: solve by differential √226

A: The objective is to solve 226 by differential. The formula for differentiation is ddxxn=nxn-1.

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A: We need to find the equation of a quadratic function that has the following root x = 5i and x = - 5i…

Q: 4. In the following equation, solve for x in terms of c. logs (x) + logs (8c) = 2

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Q: Solve the equation using Gauss Seidel's method until 5 iterations. 5x₁ - x₂ + 2x3 = 12 3x₁ + 8x₂ -…

A: Given: The system of linear equations, 5x1-x2+2x3=123x1+8x2-2x3=25x1+x2+4x3=6 To find: Solve the…

Q: 1/2t+2/3 = 1/3-t Solve.

A: Firstly, bring all the terms containing t on the left-hand side of the equation.

Q: 5. Complete the steps to show how to solve x? = 36. %3D

A: Given x2 = 36

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Q: Consider the following rational function. x² – 4x (x) x² – 4 Find any vertical asymptotes of the…

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Q: 3. a) Solve (7 + 4x) = (5x - 2) + 2                        2                3   b) (3P)1/2 + M = N…

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Q: Solve the following s OWI -D1 1 2 5 f 3 %3D

A: Given that e2-f5=1f-e3=8

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A: To solve  xx+2≥0As xx+2≥0   both numerator and denominator should be of same signNumerator can be…

Q: (15x - 8) 226

A: Given,

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.