Perform the given functions through method of integrating factors. y(y-2x) dx + (y² +x²+1) dy = 0

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A:

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A: Given,

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A: The given integral is: I=∫x2-4x3dx

Q: calculate y′′ and y′′′ 3. y=x4−25x2+2x

A:

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A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

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A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

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A:

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A: We need to evaluate ∫-10∫-y1x2 exy dx dy The region of integration is given as Here -y≤x≤1-1≤y≤0 On…

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Q: Solve the following D.Es: 1. (x+ 1) = x(y² + 1). dr

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

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A:

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: Find the centroid of the plane area shown below using integration. y²= 3x - y = x²/3 -X

A: The centroid or geometric centre of a plane figure is the arithmetic mean position of all the points…

Q: Perform the given functions through method of inspection. y(y3-x) dx + x (y³+x) dy = 0

A: We will find out the required solution.

Q: Consider the following initial value problem: y" + 25y = f(t); f(t) = { y(0) = 0, y'(0) = 5; 5, 0≤t…

A: Consider the following initial value problem:y" + 25y = f(t); y(0) = 0, y'(0) = 5;f(t):=5, 0 ≤ t…

Q: Evaluare 2xt 1 dx 2. +5x+6 メ

A: Solve this equation by logical interpretation like simplifying the denominator and then follow.

Q: (2x2y - 2y2+ 2xy)dx + (x² - 2y)dy = 0 %3D

A: As we know that the differential equation Mdx-Ndy=0 is said to be exact. If ∂M∂y=∂N∂x The solution…

Q: A. Using the basic formulas, integrate the following: 1. fx(x² +2)²dx 2. S(2V – 3x)²dx 3. fx³Vxdx 4.…

A: Note: As per our guidelines we are supposed to answer only 3 sub parts under one question. kindly…