/solve the following P.D.E by Lagrange method: az az 32 = x²y , z(x, 2) = x * = %3D - ax

Q: 4 ( Calculate -2x dy

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Q: Each of the following equations represents a cubic function

A: Given data: The first equation is y=2x2+3. The second equation is y=-x1/2-1. The third equation is…

Q: Question 3 Integrate: 1₂ 2x + 11 x² +8x+17 dx + C

A: Here we have to calculate the given integral. We have ∫2x+11x2+8x+17dx

Q: By cardanos method x^3-6x^2-6=0 is r1=y-a/3 and a=-6 find y

A: Given, x3-6x2-6=0 where x=y-a3 and a=-6. We have to find y.

Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Q1// Use Tow Phase method to solve the Mathematical model (Stop at Table 1 in Stage Two) MinZ…

A: The given LPP is, Min Z= x1-2x2s.t.       x1+x2≥2          -x1+x2≥1                   x2≤3and…

Q: 2.x²y"+xy'–3y= 0,x>0

A:

Q: Solve the TVP using seperation of variables By dy _x² (ity²), y(3)=0 dx

A: We solve given differential equation by method of separation of variables.

Q: Differentiate. y = In (4x² - 7x+9) y'=0

A: The function is The aim is to find the derivative of the function

Q: use secant method to to goproximate the solut ion of accurate to within 10, assuming X. = 1.5 and X,…

A: Use the following formula, to find the approximate root of the equation fx=0 by the secant method.…

Q: The solution of the following Bernoulli's equation y' + 3x²y = 4x²y² is: Oy= 3/(4+3Ce^(x^3 ) ) Oy=…

A: The given Bernoulli's equation is, y'+3x2y=4x2y2. To find: The solution of the given differential…

Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: Minimize y^4 + x^3 + 3x^2 + 4y^2 - 4xy -5y + 8.   With initial point as (0.5, 1), compute two…

A: As per the question we are given the following bivariate function f(x,y) : y4 + x3 + 3x2 + 4y2 - 4xy…

Q: Use the following methods to solve for the root of the equation f(x) = xe~* – sinx a. Direct Search…

A: Direct search method: If f(x)=0 has a root in between a and b, then divide the interval into…

Q: secant

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Q: OC-3+ 5x- 2. (2x-1)-9 (x-1) = 5 %3D 5,

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Q: Differentiate: y = (3x 교-5z) (4n3 +2) O y' = 60a + 80a- 12a 10 - O y' = 60x + 80a + 12x O y' = 60x4…

A: Let's find.

Q: Y = 4x²-5 Vsx dy=?

A: We want to find derivative of y, The given expression for y is,               y=4x5-55x

Q: Determine the general solution of xdy + ydx = 0. (A xy = c^x B) y =c (c) x = c D) xy = c

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Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

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Q: You have been asked to the following set of equations that have been obtained from the structural…

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Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

A: Given y'=70-3-9-23180-8y Also given y0=23-1   To reduce to row echelon form and solve for constant…

Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: (x-2)2 – In x = 0, [1,2]

A: Sol

Q: Please solve this question Using *Homogenous method step by step in detail dy d³y + 3 d²/+3dx + y =…

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Q: Once you hit the p.i = ... What is the Yp solution you are following to apply the 1/d^2 +4…

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Q: Integrate. Show all u-substitutions. 3x - 15 a) ſ √³x-15 dx 2 -

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Q: Solve the equation 3x+sin r=e using General iteration method.

A: First, express the given equation, in the form of x=ϕ(x) . Then use the formula, xn+1=ϕ(xn) to…

Q: Consider following cauchy euler equation. x^2d^2y/dx^2 -xdy/dx -2y=sin(lnx) solve g(x)[right side…

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Q: Obtain the roots of the following equation using Secant Method b. f(x)= x^4 + 2x - 19; use 2.5 and 3…

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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.