: Determine the value of k so that the following sys- tem has a solution 2.1 + 2r2 + 3ag = 0 4ri + 8r2 + 12rs = -4. 671 + 2r2 + krz = 4 %3D

Q: Determine yu – 4uzy + a?uzz + 3u = 0 %3D the type of the PDE

A: We will check whether given PDE is hyperbolic, elliptic or parabolic.

Q: 5x+y35x+y3 for x=4x=4 and y=1y=1

A: Consider the given expression (P) and substitute the values of x and y.Substitute 4 for x and 1 for…

Q: S ((V80 – x2 ) – (0.3cos (1.2r + 1.3) + 5) d -(0.3cos(1.2x + 1.3) + 5) )dx

A:

Q: 2(5x – 1) + 2 = 2x – 4(x – 1) - -

A: Use BODMAS rule, BODMAS rule says that first solve Brackets then solve Order (powers) then calculate…

Q: frved 4x-5x-15 de

A: we use to solve this integral by using partial fraction method

Q: What is the least common multiple of 1/6x + 1/5y + 1/10z

A: given

Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

A:

Q: Find f-l (n) for 8ln) = n2-6n and its %3D domarn

A:

Q: (14+ x) ÷ 2 when x = 4

A: Note: It is being assumed that the expression: (14+ x) ÷ 2 needs to be evaluated when x=4.   In the…

Q: Simplify. 2 [5x 5y2 0]

A: We need to simplify the given expression.

Q: a) 13/5 x (3/4) ÷ (4/5 – ½) =  b) Solve 3(x – 5)/3 = 2(2x – 1)/5 + 1

A: Given:  a) 135×34 ÷45-12 =? b) Solve 3(x – 5)3= 2(2x – 1)5 + 1.

Q: 85 MATH2215 2x+1 dx x2-7x +12 2x+1 メー4XX-3) B. (X-4) (X-3) ACX-3)+ B(X-4) てメー4)CX-3) = Ax-3A+Bx-HB…

A:

Q: if it was X-fask and Y-PSm t it 2.

A:

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: Find dx2 e 2Y +x = 6y

A: differenciate given expression with respect to x

Q: 4= } 。-:上 1 0] 3 -1 2 A = C = %3D

A: We find the product of matrices AC as shown below

Q: Solve the Syatem using augmented Mataix M. +3z = 1 %3D 2x 3D3 %3D

A: Given: x+y+3z=1            2x+3y-z=3            5x+7y+z=7To find the solutions: using Guass…

Q: y = 4x + 3 and y = 3x

A: on sketchting the graph we get

Q: What is the solution set for x+1/x(x+2)?

A:

Q: az Find if yz – In z = x + y ax 3.

A: We have              yz-lnZ=x+y

Q: Suppose XY is congruent to YZ. If XY is 8x + 8 and YZ = 2x + 18 what is the value of x? If needed,…

A:

Q: ×: Attend a 4-year college Px: 0.1 X: Attend a junior college Px: 0.2 X: Attend a technical…

A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

Q: Which of the following shows the graph of y-cot -3m/2 -If -1/2 -1/2 0 7 0 T ay (1)-¹² w12 W 3/2 3w/…

A:

Q: If 1/6 of x - 7/2 of 3/7 equals - 7/4, then the value of x isA -1.5B 3C -2.5D 6

A:

Q: 4 A = 1 0] 3 -1 2 6. 4 C = %3D 2 -3 -3

A: Expande by first row and we calculate determination only square matrix so we can not find…

Q: A pool has two pipes, one that pours water into the pool, and one that drains water from the pool.…

A:

Q: over Z5 Perform the following calculations (a) 2.3 = = (b) 3.4-4 (c) 4-1 =

A:

Q: 34368 + (431"19) - 27 = 12530 3 a 18b 3 23 ( 261 +5p) +7p

A:

Q: 2x² + x³ 3x² + 4x-9 1² +1 Q(x) + p(x) 1²+1

A:

Q: Find usingy tah x X(X+)(x-2) tx+0し2xt3) 2) y== It qX ^X

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.