3) (4 – x²)y' + xy = 4

Q: O Solve y' = x + y + xy, y(0) = 1 by choosing step length 0.2 for y(0.4) by Euler's modified ethod

A: Given y'=x+y+xy, y(0)=1 Take f(x,y)=x+y+xy, Using the euler formula, Since it is given that h=0.2.…

Q: ;y(0) = 1 form of yp to solve

A: As per the bartleby guidelines for more than one part only one has to be solved .Please upload the…

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Q2: use Newton-Raphson Method to solve 2sinx x (x 2)

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: For what value of x will the curve y = x3 – 3x2 + 4 be concave upward?

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Q: y"– 2y' + 1 = (x + 1)e²x

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Q: y" – 2y + y = 1+x?

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Q: (² + 1)³yy'(t) = 1(y² + 4)

A: Given:- (t2 +1)3y y'(t) =t(y2 +4)  To find:- General solution of given differential equation

Q: Test for exactness and solve (6xy3 + 4x'y5)dx + (3x°y² + 5x*y*) dy = 0

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Q: How do you solve question 8?

A: We use Newton Raphson method to solve the question listed. The formula is given as, The following…

Q: 2. Using the variation of parameters, find the particular solution of (D² + 1)y = sec x

A: By the method of Variation of perameters

Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x. (ii) x²u"+xy' +(x² – !)u…

A:

Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: 4. (D² + 2D + 5)y = 4e-*cos²x

A: Given differential equation is: d2ydx2+2dydx+5y=4e-xcos2x Auxiliary equation corresponding to given…

Q: Solve for all possible solution in the equation y^2 + y = x + Inx + e^y - x^2, using Secant Method *

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Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y •y(0) = 2 (h=0.01) .What is the error in…

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Q: – kz = 0, -z= 0, solution then

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Q: 6z dy (78)a

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Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

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Q: I Solve the differential eauations 4. (D7D+19D+13)y =0 when x-0, y=0, y'=2, y"= -12, find y()

A: Given differential equation is D3+7D2+19D+13y=0 and given when x=0, y=0, y'=2, y''=−12 that is y0=0,…

Q: Solve using Euler's Method dy=sin(x + y)- e*,y (0)-4, h-0.1

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Q: Find solutions using Exact Equations 5. Solve (2t3 + 3y)dt + (3t + y – 1)dy = 0

A: Firstly Compare given differential equation with Mdt+Ndy then find the exactness of equation and…

Q: 3x²ydx – (x³ + 2y*)dy= 0

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Q: Solve for all possible solution in the equation y^2 + y = x + Inx + e^y - x^2, using Secant Method

A: We have the following equation in two variables : y2 + y = x + ln(x) + ey - x2   As there are two…

Q: Q2/ solve :- +2y = Sin 3 X %3D u sing (D-operator methoD)

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Q: Use the method of Variation of Parameters to solve. SHOW WORK. y" – y' – 2y = 2e-t

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Q: 3.Given a nonlinear equation y = 3x^3- %3D 5.12x^2+3.4x-1.9 solve for the following:

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations, where xn is the…

Q: 'C0)--3 (2) Y +y: yo) =5 y co)-3 secx

A:

Q: Here is how to use the second-order Runge-Kutta Method with the same given as in fourth-order: •…

A: Second order Runge-Kutta Method: For any function fx, y For the first Approximation k1=h fx0, y0…

Q: Find the general solution and particular solution of this equation. (Non-anonymous question) xydx +…

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' =- 1+e2y „y(0) = 3 (h=0.01) .What is the error in…

A: According to Euler's method: yn+1=yn+hf(xn,yn), where xn+1=xn+h and h is a considered step size.…

Q: Simplex Method to solve the following LP: max Z = +2x2 +4r3 +5r3 < 10 8. s.t. 311 +4x2 2x1 +2r3 < 7…

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Q: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation.

Q: 2. Solve the diophantine equation x = y'.

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Q: 3. Using the undetermined coefficients, find a candidate of a particular solution y, of the equation…

A: Given: Differential Equation:                                                  y''-4y'+4y=t3e2t…

Q: et y" +5y' +y= xe* the particular solution of the equation can be obtained: elect one: a. By both…

A: The given differential equation is -  y'' + 5y' + y = x-3ex

Q: equakan ,yy= xe Solve the ditferen fal with initial condition yl0) =-2

A: Given : yy' = xe-y2y0 = -2

Q: Q1. (4 marks) Find the general solution of the Cauchy-Euler equation: x²y" – 3ry + y = x°, r>0.

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Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' = 1+ e2y •Y(0) = 1 (h=0.01) .What is the error in…

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Q: he equation ay"+ by' + cy = 0 has a unique solution satisfying y(0) = 1 and y'(1) = 2.

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Q: A. y" – 2y + 1 = (x + 1)e²x

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Q: + 12du = 0, t> 0 with u(x, 0) = f(x), 0 < x < 1. Determine the characteristics and sketch them.…

A: Given: The given partial differential equation 3∂u∂t+t2∂u∂x=0 with  u(x,0)=f(x),0&lt;x&lt;1.

Q: 2. (6x + y²)dx + y(2x – 3y)dy = 0

A: In this question, we need to check whether the given equation is exact or not and then find the…

Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

Q: x In x dx Show that , V4 – x² dx = (2n + 3v3).

A: Part (a) Given integral is ∫12xlnxdx

Q: 46. y" +y = Itsin z

A: Consider the given differential equation: Here the objective is to find the solution of a given…

Q: Q2 (a) Determine the solution of y" – y = e2x – x + sin x using method of undetermined coefficient.…

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Q: Q1) Solve given differential equation using a variation of parameter method y" – y = 212 – t- 3

A: