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

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

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

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

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A: Given differential equation is                                           dydx+yP(x)=ynQ(x);  x=y1-n…

Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

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A: From given non linear equation we have  f1=-x2+y-1=0f2=y-2cos(x)-1=0 iteration formula is:…

Q: 1) fix) = (x-2).x+1 find the maximum,minimum and inflection paints of the finction. %3D

A: An inflection point is a point at which the second derivative is equal to zero or is undefined and…

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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 the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: 1-2) Use the 4 step process or the increment method to get the derivatives of the following…

A: 1) y=4x2+3x2) y=2x-13) y=4x4+2x3-3x2+7x-15

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: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

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Q: Solve the following 2nd order D.E using variation of parameters method: y'' + 2 y' + y = e^(-x)

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

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Q: Solve 24-4x²³/dx + xdy = 0 using the integrating factor M = 2² SPOXK

A: Solve 2(y - 4x2)dx +x dy=0, Using the integrating factor μ=e∫P(x) dx.

Q: (P-rule) 9. y=XN2X+ | %3D rewrite y

A: Given that:y=x2x+1

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Q: Solve the following: 1. y'=√x+y+I 2. 2xy + y³e-2 = 2xy. (Bernoulli) 3. (x-y)y' = x+y, y(1) = 1. 4.…

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Q: Answer all of the points with formulas and full procedure.  Given the quation y = -2x+22 : a)…

A: (1) Given information: The given linear decay function is y=-2x+22. Definition: The linear decay…

Q: QUESTION 6 Find the missing entries in the following table Sx Sy y = b 0 + b1x A 18 6. -0.2 = 27…

A: A simple linear regression equation is used to relate the response variable with an explanatory…

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: Please review the screenshot attached to this request and solve the problem :)

A: Step 1: Step 2: Step 3: Step 4:

Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

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Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

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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.