Consider the linear equation: 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

Q: Determine whether the given equation is linear. 1+1 x +1 O linear not linear

A:

Q: хdу + (1 — 3х)ydx %3D Зxdx

A: The given differential equation is: xdy+1-3xydx=3xdx Rearranging this given equation: dydx+1x-3y=3…

Q: how can you tell is an equation is linear? is y=3x linear?

A: A linear equation can be written in the form y=mx+b or Ax+By=C. Where, m,b,A,B,C are constants.…

Q: v² = 2| A ds

A: Use the definition of velocity and acceleration, to obtain the required equation. The rate of…

Q: Solve the linear equation below: dy +y =x³ dx y= C y- 4 3 C y = y =c +

A:

Q: Solve the linear equation by using Cramer's rule: 2x+3y-4z=-3.... .(1) x+2y+3z=3... Зx-у-z-6....…

A:

Q: Solve:  Diferential equation xy'+y=14x

A:

Q: Why is x+9y^2 =1 not a linear equation?

A: The given equation x+9y2=1

Q: Give the equation of

A:

Q: Find a solution to the linear equation y=2x+6 by filling in the boxes with a valid value of x and y.

A:

Q: Find the general solution af the equation, y' = x(1- y).

A:

Q: For the linear equation y = 2 - 2.6x If x increases by 9, what is the resulting change in y? Do not…

A: The given regression equation is, y=2-2.6x

Q: Identify the linear equation. O y=x2.4 Oy = Oy=+3 %3D O y= bd +5

A: Option (3) is correct.

Q: y + y = T+?" 1+ 12°

A: In this solution i got a critical integration which term i have conclude with a integral sign

Q: Explain Properties of the Solutions of y''+y=0 ?

A: Given differential equation, y''+y=0 is represented by linear differential equation with constant…

Q: Find the general solution of the equation x*y" + 2.x°y'+ y = 0.

A:

Q: What are m and b in the linear equation 6 + 14x + 1 + 10x = y?

A:

Q: -3x d4 =0.

A:

Q: Equation: (D4+2D3-6D2-16D-8)y=0

A: (D4+2D3-6D2-16D-8)y=0

Q: What do the two equations represent?

A: The two equations are as follows -  y-8 = 12(x+5)y-8 = -12(x+5)

Q: ) Verify that y=e-2x is a solution of equation x(y")3+ (y')4 – y = 0

A:

Q: What are m and b in the linear equation y = 28x + 21?

A:

Q: 1 For Exercise, use A = and solve for X. and B = -2 зв - А %3D - 2X

A:

Q: Consider the linear equation 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given data,                   3  x + 1  = 3 x + 3

Q: ystem of linear equations, v

A:

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +…

Q: Why is 1 + 7/x = y not a linear equation

A:

Q: Find the solution of the equation which passes through the x-axis.

A: If it passes through the X-axis, then, y=0 & z=0 is satisfied. So, we get, 0 = (p²+q²)/2 +…

Q: 4. When the linear equation has no solution.

A: We have to say that when the linear equation has no solution.

Q: Solve the linear equation using Gauss-Seidel -3.1x — 2.1у + 6.1z %3D 9.9 5.4х + 2.2y - 2.7z %3D 15.7…

A: Given : -3.1x-2.1y+6.1z=9.95.4x+2.2y-2.7z=15.7x+4y+3z=-24.1

Q: find the general solution of the linear equation (D^5+4D^3)y=12

A: If the root m1,m2,...,mn =m of the auxiliary equation are real and same then complementary function…

Q: y' = (4x + y)?

A:

Q: Solve  x+y=a+b  ax-by=a2-

A:

Q: Rewrite the linear equation -4(x-) = *-(7y + 3) 3x-4 in the standard form of y = mx + c

A:

Q: 2. у' %3D х3 — 2ху when x = 1 & y = 2

A: This is a problem of differential equation.  Here we will substitute the some of variable and then…

Q: What are m and b in the linear equation 5 + 6x + 4 + 2x = y?

A: Given: 5+6x+4+2x=y

Q: What are m and b in the linear equation, using the common meaning of m and b?

A:

Q: X+ X2 = 2X is a linear equation?

A: Solution: No.

Q: Replace the Cartesian equation with equivalentpolar equations. x2 + y2 = 4

A:

Q: the equation x2 = 2x has three solutions: x = 2, x = 4, and one other. Estimate the third solution…

A: To sketch the graph and find the solution of the equation.

Q: In an equation where is y is expressed in terms of x, the variable x is considered the

A: When we write y as a function of x or in terms of x it is an equation of x & y.

Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: Check whether the linear equation  3x+5=11 is true for x = 2

A: Given the linear equation: 3x+5=11

Q: Solve the linear equation using Jacobi's method. 8x, + 2x, + 4x, =- 16 3x, + 5x, + x, = 4 2x, + x, +…

A:

Q: What is the linear equation? Oy =-4x + 4 Oy = -3x +4 Oy = 3 + 2 Oy= 5x +3

A: What is a linear equation?

Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

A:

Q: What are m and b in the linear equation, using the common meaning of m and b?  1+4x+6-x=y

A: Here we find value of m and b

Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…