3 y 1-x y'- 1- X y= e-e

Q: Find the General Solution of the Differential Equation given below using Exact Equation

A: To solve the given differential equation: yexy−1ydx+xexy+xy2dy=0,y1=1

Q: The differential equation y'= x – 2xy can be solved by two methods. These are:

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Q: (с) гу' + ху — 1— у, у(1) — 0

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Q: y' + 2xy = 0

A: y'+2xy=0

Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

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Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Find the general solution of the differential equation y′ = tan3 3x sec 3x

A: Given: y' = tan3(3x)sec(3x) =>dy/dx = tan3(3x)sec(3x) =>dy = tan3(3x)sec(3x) dx

Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: (5) Solve the differential equation by dy variable separable x°y- csc y dx

A: Using method of variables separable.

Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: Can you please solve for the PS/GS of this differential equation and pls indicate what kind of…

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Q: 13.ydx + (3x —ху+ 2)dy — 0

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Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: Solve the differential equation by variation of parameters. y" - y = cosh(x) y(x) =

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Q: Give two examples of your own for order and degree of a differential equation

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Q: dy (S+e")을=-cosr+Ing)

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Q: Solve the differential equation for y if (1+9x²) dx %3D

A: Here we have to solve the differential equations,  1+9x2dydx=1.................................(1)

Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Find y2 for differential equation if yI is given: ху" — 20у'%3D 0 Y1 = 15x13 -

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Q: Solve the first order differential equation by separating variables.

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Q: Solve this exact and linear Differential equation in y.

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Q: 2. y + xy = 6x/y %3D

A: Derivatives represent the change in variable with respect to change in another variable. When the…

Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: Solve for differential equation  (y2-xy)dx+x2dy=0

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Q: Y = CI cos 3x + C2 sin 3X

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Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: EQUATION

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Q: Please Find the general solution to the differential equation x'''+x''+x'+x=0

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Q: equation

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Q: 7. ON te 2.

A: We have to solve

Q: y' - 2x = -e-t; y(0) = 2

A: y' - 2y = - e-t, y(0) = 2 Thia is a linear differential equation of first order  Integrating factor…

Q: By first finding an integrating factor, solve this differential equation. Give your answer in the…

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Q: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

A: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: y' +y Inx = 0

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Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: sin 0 · dr/d0 = -1– 2r cos 20 -1 - 2r cos 20

A:

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.