Using variation of parameters, solve the nonhomogeneous system X'= AX + g, where 1 A=[24] g=g(t) = || -5 -2 " - cost sin t

Q: Solve 3x2+x = 23

A: 3x2+x=23 On simplification, we get 3x2+x-23=0 Now comparing with ax2+bx+c=0, we get a=3,  b=1  &…

Q: Solve Ч 3ху= 4'=45х +уз

A: Given differential equation:- 3xy2y'=45x4+y3

Q: Solve  2x=4x-1-3

A:

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: Solve In(5x + 7) = 8. Round to the nearest thousandt

A:

Q: Solve: 1/2x -3/5=2/5

A: We have given,

Q: Solve : 3x2 - 4x = 4

A: Consider the given quadratic equation: Here the objective is to find the value of x.

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: 3 + 4lnx =15

A: subtract both sides by 3

Q: Solve  7x - 5 = 8x + 9

A: The equation is given by 7x-5 = 8x+9 To evaluate: The value of x which satisfy the equation.

Q: Solue forx 8tlogs (-4x)=10

A: Please see the answer below.

Q: (-1+i)’ = -6(1 + i) true False

A: Given:- (-1+i)7= -6(1+i) To find:- Given equation is true  or false

Q: A train travels 96 miles in 3 hours.  At this rate, how long will it take to make a 480 mile trip?…

A: Given : A train travels 96 miles in 3 hours.

Q: Solve: x2+ 3 = 0

A: Square root of negative number gives complex solution. Also, i2 = -1

Q: A cyclist bikes 20 kilometers in 2 hours. What is the cyclists pace in hours per 1 kilometer?

A:

Q: Solve: 4*1=162x-4

A:

Q: Solve : 2x2 = 250

A: 2x2=2502x

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.