use initial conditions u (0, t) = 0 and u (T, t) = 0 u (0, t) = (c1 + c2) (c4 + c3t) = 0 » (c1 + c2) (c4 + c3t) = 0 %3D u (T, t) = (c1 + cze) (c4 + c3t) = 0 > (ci + cze-*) (c4 + c3t) = 0 this condition is only possible if c1 = c2 = C3 = c4 = 0

Q: Which one of the following equations has exactly one distinct solution? O (x-4)(x+ 4) = 0 O (2x +…

A:

Q: 6 Solve for X 3.6.1 2x-17 = 83 3.6.2 5(x+1)= 2(x+7) 3.6.3 4(x+2) = 16+ 2(x-1)

A: as per bartleby guidelines i can solve only first three

Q: 1. Solve the following sir y = 2x - 3 =) { / 4x - 3y = 7

A: Here we have to solve the equations.

Q: G(y) А + Be 10

A:

Q: find the general solution (u) youl - 13g" + 36y= 2x²-x+1

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general solution of (D4+ 32D²+256) y=0

A:

Q: Solve (D4 + 2D² + 1)y x cosx +3*

A:

Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

A:

Q: V(A - B) = A x (V x B) + B x (V x A) + (A - V)B + (B V)A,

A:

Q: show there is a solution exactly where b2=2b1

A:

Q: 1 Explain if the point ( -2, 4) is a solution to the sytesm 3x + 4y = 10 and - 3x + y = 15 2

A: System of equations solution.

Q: If Ax = b has infinitely many solutions, why is it impossible for Ax = B (new right side) to have…

A: We need to show Ax=B have no solution or infinite solutions.

Q: Determine if b [3] 312 1 is a linear combination of a 1 = ------- 0 a2 1, and a3 = 2 6.

A:

Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: Find the solution to the 4x + y = 0 4x+y3D -8

A:

Q: If 4 is one solution of the equation x² + 3x + k = 10, where k is a constant, what is the other…

A: If 4 isone solution of the equation , where  is a constant, then to find the other solution.

Q: -2(4y+1)=-8y– 2

A: We have to find out

Q: Solve the following equation for h. (bị + b2) h A = bị + b2 2A 2A he b1 + b2 A h 2 (b + b2) A (b +…

A:

Q: Determine whether the equation x² + 1 = 0 has a solution in F3.

A:

Q: Solve for the following sytem of linear equations: (1) 2x + 3y + 2z=3 T (2) 4x - 5y + 5z = -7 (3)…

A: The given system of linear equations,We have to find the solution of this system.

Q: Let A 1 0 6 2 -1 2 -1 4 5 and b 2 2 Solve the equation Ax = b.

A: Given: Let Matrix A=12-10-14625 and b=22-2. To Find:Solve the equation Ax=b.

Q: Let Does the equation AX 303 4 1 4 1 €FX4 5 2 2 034 b have a solution for each b in F4x1? Justify…

A: (.)  Given,               (.)  Let  is a   matrix ,  is an  vector and    is an  vector then system…

Q: What is the positive solution of x2 – 36 = 5x?

A: We have to find solution for given equation ...

Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: Solve the following equations: ?3−?2+?−1=0x3−x2+x−1=0 for x. ?2+4?2−4=0x2+4y2−4=0 and…

A: Substitution method for solving linear equations: Step 1: Solve one linear equation in terms of x…

Q: The equation (x – 2)² + (y + 5)2 = -20 has no solution.

A: Here use basic of equation properties for identifying equity have solutions or not

Q: Hello, I'm trying to solve this sytem of linear equations: x + 3y + z = 3 3x + 8y + 3z = 7 2x…

A:

Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

A:

Q: does y=5x-4 and y=5x-5 have no solution, one solution, or infinitely many solutions

A: Given that two lines. y = 5x - 4 and  y = 5x - 5.  Both lines have same slope m = 5.

Q: 4. Obtain the general solution (D³ + D² - 9D - Dly = 6e*+ 3° 3x 3xe

A:

Q: a. Solve x2 + 2x-y+1%30 and x + y-1=0 using Elimination Method

A:

Q: A student claims that the equation ax = bx has no solution because a 6= b for all a and b. Is the…

A: The given equation, ax=bx

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: Solve the following problems: 1. What is h³j6 + 343 if (hj² + 7) = 120 and (h²j4 - 7hj² +49) = ?

A: We need to solve algebraic problem.

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.