(5) 21? – 5t = -4 Work:

Q: a*u du 12. Solve by Crank -Nicholson simplified formula əx² at . u(0,t)=0,u(1 ,t)=0, u(x,0)= 200(x –…

A: Given, ∂2u∂x2-∂u∂t=0u(0,t)=0 u(1,t)=0u(x,0)=200(x-x2)h=0.25 Standard form of the parabolic equation…

Q: Q5):- solve the following D.E y" – xy' – y = 0 As solution key use y = En=o anx" m=0 Good Luck

A: To solve the below differential equation. y''−xy'−y=0

Q: Q2: Using the rules, convert the following differe ntial equation into exact, then solve x* ydx-(x'…

A:

Q: 6. Solve for the unknown variable using a method of your choice. a. 5a+ 23 = 1257* %3D b. 2 = 123

A: Part a,Given,            511x+23=1257x

Q: Solve for r: 6* = 35 || 35 6 The exact solution is x = The solution rounded to 4 decimal places is x…

A: We will find the value of x as following.

Q: Amber solved for m and found it to be equal to 36. If she is correct, clarify what postulate or…

A: Amber solved for m and found it to be equal to 36. If she is correct, then to clarify what postulate…

Q: find the solution by hand not types  t-rsec4y= 2qtany, solve by Monges , not other method

A:

Q: Set up P Solve Ho:0²-150, Ha: o=159 n=20 %3D a=0.05 and s2=170. 5²=D170. forthe conficlence oa=2%,…

A: a). The sample variance and the sample size are, s2 = 170 and n = 20 respectively. The significance…

Q: az az and ay d both ax

A: Given: 8) a) z=5x3-4y-2+6x12+3xy    b) z=7y-15x10y15+4x-1-x23y2 To Find: ∂z∂x, ∂z∂y

Q: Determine whether the given DE is exact or non-exact show your solution

A: The given differential equation:xarctanydx+x221+y2dy=0⇒xtan-1ydx+x221+y2dy=0We need to determine…

Q: ve by nanu with = 0.6. Suisn po c) Solve by hand with the classical fourth-order Runge Kutta method…

A:

Q: Pregunta 2 12 30 Solve for all three unknowns. Only enter the answer for x here. Round to the…

A: In the given right triangle  Base = 30 Perpendicular = 12 Hypotenuse = x

Q: 1 11 + 1 +... 6 9 12

A: This is a problem of Infinite Series.

Q: EX/Solve The equations using Gram er's vule 2X-y+32 = -2x- J-22=

A: By using Cramer rule we solve the given system

Q: U& Newtans Method with XI=1 to find the root of theequation x²-X=4(rand tò Siy.deamaH Solve the…

A:

Q: 2. Solve for the root using Secant method with initialguess of R3=14000 R, =15000Es =0.01% f(R) =…

A: The root of the equation can be approximated using numerical methods. The formula for the secant…

Q: Q1: The tank shown in the figure below is filled initially with water: a- Find the depth of water at…

A:

Q: Solve the equation Doe the Ivr consisting of the equation in purt@ and the Condition ylo)31 have…

A:

Q: Q6

A: We use given identity.

Q: Solve the equation on the interval 0 s 0 < 2n. Leave answers in terms of n. 5 sec 0-1 = 4

A:

Q: 1. Solve ALMN in which m= 66 m, n = 120 m andZL = 60°. Round all answers to 2 decimal places where…

A: Solve the following

Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

A:

Q: Q16

A: We use identity , cos(z)= cosx coshy- six sinhy

Q: Solve the following ég stam of equations by using invese maHrices Not POSSIBLE and conclusion, , IpO…

A:

Q: Perform the following as indicated. Show your complete solution to earn maximum marks If (x + yi) /i…

A:

Q: I=9 - nin(94), (i) y-1- con(9t) from t0 to 2n/9;

A: Since you are asking multiple subparts, we are answering only the first three subparts for you.…

Q: Solve the equation on the interval [0, 27). 3(sec x)2 – 4 = 0 [ T U Uz X = [?]: > 6 6 6 Write your…

A:

Q: Find the exacted solution and the error (6)y = 201+ y?), with y(0) = 0, h = 0.5.

A: Given a differential equation. We need to find the exacted solution. Let's start.

Q: Solve the equation for exact solutions over the interval [0,360°). sec (30) = 1 Select the correct…

A: sec(3θ)=1 , θ∈[0,360°)

Q: valuate. Give the exact solution. 1-2 m+12 = 5

A: Given, 1-2m+12 = 5  We have to find the exact solution.

Q: ASAP Find the general solution t-rsec4y= 2qtany, solve by Monges , No type answers

A: The given partial differential equation is  .......(1) Comparing it with Rr+Ss+Tt=V, we have…

Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

A:

Q: Let X € R"×m. Show that X™x > 0.

A: We will solve the question number 4 as mentioned. Consider a matrix X∈ℝn×m. We need to show that…

Q: Use a calculator to solve the following equation for O on the interval|-5, . IT 2 2 csc (0) = 2 Find…

A:

Q: Given 0 t² | s² solve for 20 at

A: Given: θ=st2-ts2   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Law: ddxxn=nxn-1…

Q: given

A: We use identity, eiθ=cosθ +i sinθ

Q: The value of the root of equation Vx + x = 3 using the iteration method Xo=2 1. 1.355 2. 0.267 3.…

A: Iteration Method : Let the given equation be f(x) = 0 and the value of x to be determined. By using…

Q: 4. Let tano = with 0 in QI. 12 sec20 =

A: We have, tanθ = 512 Where, θ is in first quadrant. To evaluate: The value of sec2θ.

Q: solve the given initial value problem. Describe the behavior of the solution as t →…

A:

Q: Solve the equation using Relaxation's method until 5 iterations. (Non-anonymous question O)) 5x₁ -…

A:

Q: 261. Solve y' – y = ekt with the initial condition y(0) = 0. As k approaches 1, what happens to your…

A:

Q: solve the given initial value problem. Describe the behavior of the solution as t → ∞.…

A:

Q: Use the following Method K2 = h f(Xnth, Jatki) to Solve 2. the initial Value Problem %3D 1 just find…

A:

Q: B. Test for exactness and solve. 2. Зу(x? — 1)dх + (х3 — Зх + 8у)dy %3D 0

A:

Q: What is the sloution when solving for t  Ac^t=B  Assume A,B, and C are positive constants.

A:

Q: Use the Convolution Theorem x{t ['re=1 or} Lt те-т 3s +1 2 S s² (s+1)³

A:

Q: 4. Find the particular solution of the DE: -2t y" + 4y' + 4y = te *

A:

Q: Evaluate: 1 S? vte-tdt. LVte

A:

Q: max -a? – ry-y? r - 2y <-1 2.r + y 2 2

A:

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.