The degree of y'= 2x +3

Q: Question 1 Find the total differential of the function z = 7x³y8 Odz = 7x¹y³dx + 7x³y+dy dz =…

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Q: The integrating factor of y= 2x' is dx

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Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

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A: Pi/4

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A: y=Arctan3x-44

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A: The given equation is; y'=2(2x-y).

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: What is the integrating factor of xy' + 6y = 3xy3?

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Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

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Q: solve the differential eq + 2x) dx = = (2y \1+x²y² |dy 1+x²y²

A: The given differential equation is: y1+x2y2+2xdx=2y-x1+x2y2dy

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A: The given question is related with parabola. We have to find the differential equation of the family…

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

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A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: dx 2.

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: Find the differential of y² + x = 4.

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

Q: 3z cos(z)dz

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 6) Calculate - dx for z = ln(x + y²).

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Q: Find the partial derivative. 4 = (x² + 6x – 3y)* - dz

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Q: -5 1 -dx Jo 2x+4 1 dt 2 V6-t 1 ii) S,

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Q: Find the serial solution of the differential

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Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

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A: to find the double integral we consider a strip parallel to x axis

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Q: (In x) dx Integrate: 1

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Q: What is the integrating factor of y' - 2xy x?

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Q: find the differential equation of a family of parabolas with an axis parallel to the x-axis

A: We have to choose the correct answer from the given option according to the given condition

Q: | (In x)2 dx Use integration by parts.

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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.