The Crank-Nicolson method used to solve parabolic PDES is stable for a. A# 1/2 O b. all values of A O c. As 1/2 O d. A2 1/2

Q: If we wish to solve u′(t)=1−u(t),u(2)=2 up to tf=4 by using 5 subintervals, then u(t2)= . This…

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Q: 7. Find the solution of the DE: (D? + 9)y = x+e2 using method of undetermined coefficients.

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

A: We have to find the general solution for the following given differential equation - D2+3D-4=15ex

Q: apply 4th order Runge-Kutta to solve the following value problem y = x^2 + y for h = 0.1, y(1)=1 and…

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Q: a. My =n xyy

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Q: You are to design a spherical tank to hold water. The volume of the liquid it can hold can be…

A: Given  V = πh23R-h3 Where V = 1000 ft3 and R = 10 ft. 1000 = πh230-h3 Then we can rearrange the…

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Q: Solve the following equation using Bernoulli D.E. b. Alternative method 5. x +y = x?y?Inx

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Q: Üse the modified Newton-Raphson method to find the solution correct to six decim places near to x 2…

A: As per Bartleby guidelines we're supported to answer only first one question when two or more…

Q: Use the Newton-Raphson method to obtain successive approximations of v2 as the ratio of two…

A: Newton's Raphson method

Q: The Crank-Nicolson method used to solve parabolic PDES is stable for O a. As 1/2 O b. Az 1/2 Oc all…

A: In the question it is asked to solve for parabolic PDEs.

Q: f(x) %3Dх3 — 5х? -2х + 10

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Q: Use separation of variables to find a family of solutions to the following PDE и (т, t) — с'и (т,t)…

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Q: Study the solution of the following problem by D'Alambert's formula and determine the points where…

A: Using D'Alambert's formula solution is:  ux,t=12ux-t,0+ux+t,0+12∫x-tx+tutξ,0dξ…

Q: Which of the following can be solved by both trapezoidal rule and Simpson's 3/8 rule? How to solve…

A: Trapezoidal Rule: For applying this rule, the number of subintervals must be a multiple of 1.…

Q: Find the second approximation to the root of the equation x-4x-9 = 0using bisection method, if a, =…

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Q: Solve the following equation using Bernoulli D.E. a. Substitution method dy 1. x +5y = 2x2y+, y(1) =…

A: Given Equation is   x(dy/dx)+5y=2x2y4  and y(1)=3

Q: B/ solve the following P.D.E by Lagrange method: az az - 3 = x²y , z(x, 2) = x ax ду

A: Please see the explanation below

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A: To find the following parts a). The car is moving forward or backward at time a=3. b). The car is…

Q: Let y(x) be the solution for the DE : У 3 (х +у-1)2 If y(0) = 1, then find y() 8 - JT JT Зл 4 Зл -…

A: Here to solve the given differential equation first we change the variable y by a  transformation .…

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

A: Differential equations

Q: You are to design a spherical tank to hold water. The volume of the liquid it can hold can be…

A: The complete solution is in given below.

Q: What is the general form of a particular solution that should be used when using the method of…

A: We have to find the particular form of the general solution.

Q: Find the general solution of a given non exact DE y(8x-9y)dx+2x(x-3y)dy=D0. (Note: Express your…

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Q: Solve the following equation using Bernoulli D.E. a. Substitution method y = -x²y²cosx 3. +=y

A: The given Bernoulli differential equation is dydx+2xy=-x2y2cos x.....(1) We have to solve the…

Q: Given the following trapezoid, assume YZ is a midsegment. Solve for x. 7x +3 R Y 6x + 8 T. 10x-2

A: As YZ is midsegment,  YZ=RS+QT2 Given, YZ=6x+8           RS=7x+3           QT=10x-2

Q: In the diagram below, given that XY 3cm, XZY = 30° and YZ = x, is it possible to solve for x using…

A: topic - trigonometric ratios

Q: Determine a Trial Solution for the following DE, by using the Method of Undetermined Coefficients.…

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Q: Given that the DE y" (t)-6y' (t) + 6y(t) = 2e6t has a solution of the form Ce6t determine the value…

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Q: Find the second approximation to the root of the equation x–4x-9=0using bisection method, if a,…

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Q: ABCD is a rectangle. A В 4 3 1 E 5 Given: mz1 = (4x – 28)° mz2 = (x + 12)° - Solve for x. m23…

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Q: Solve the following equation using the bisection method 2 x – 11 = 0 take as initial interval [a =…

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Q: For the Following difpe rential equation, determine the General /Particular solutions. (1-…

A: In this question we have to find the general/particular solution of the differential equation.

Q: When we use Euler's method to solve the IVP: y' = f(t,y), a <t < b, y(to) = a, we get the formula of…

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

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Q: A quadratic equation x2-4x+4=D0 is defined with Po=2.5 and p1= 3.4. Find the approximated value of…

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Q: Solve the 2nd order D.E. below using method of undetermined coefficients : y''+ 7 y' = 42 x^2 + 5x…

A: To find the solution, first, solve the homogenous ODE, y''+7y'=0 and obtain yh=C1+C2e-7x.…

Q: The roots of the auxiliary equation of a DE are: m 3, 3, 3 t 3i.Then solution of the equation is,

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Q: Solve for x and give the length of each segments. (with solutions) 24 18 D/*+3 3x + 3 2x + 5 -2 + 4x…

A: We have to find the x values and determine the lengths.

Q: Solve the following using the method of solving Bernoulli Equations. *+ tx* += 0 3.

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Q: Solve the following PDE by using Lagrange’s method: x^2p+y^2q=z^2

A: The PDE is x2p+y2q=z2. The axillary equations are  dxx2=dyy2=dzz2       ...... (1) Integration of…

Q: 9. If MNOP is an isosceles trapezoid, MP = 16x-13, NO = 9x +8, PN = 5y + 19, and MO = 12y -37, solve…

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Q: solve the following Equations using 4th order Runge- Kutta Method • Equatioras a. y = 2x3 b. y =…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Solve the DE y' – y = y?e# using the Bernoulli method. (a) Hint:Remember that the form must be y'+…

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Q: a). Find the complete solution of the following: 9pqz = 4(1+z3). b). Solve the following PDE by…

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Q: The simple implicit method used to solve parabolic PDES is stable for O a À# 1/2 O b. As 1/2 Oc. À2…

A: Thanks for the question :)And your upvote will be really appreciable ;)Corre

Q: The appropriate form for yp if the method of undetermined coefficients was used to solve the DE: y""…

A: To find - The appropriate form for yp if the method of undetermined coefficients was used to solve…

Q: L Refer to isosceles trapezoid KLMN, 1. LN = 2. If LN = 5 cm, the MK =. 3. MK = = 5x –- 10, %3D = 20…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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.