A) Solve the following separable differential equation dx -x - 2x +1 dt

Q: i need the answer quickly

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Q: dy dx 1+2у? уcos x .3

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Q: Solve the following differential equation (x + 1)- 2(x² + x)y = dx x+1 Maximum • Files

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Q: Solve the following differential equation and verify th fundamental set of solutions. y" + 2y' +y =…

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Q: 6.) (y In xy + 3x²) dx + x In xy dy = 0

A: First we need to simplify the given equation then solve it by standard formula. Following formulas…

Q: Write a fifth-order differential equation that has the following general solution: Cез* + Сzе-2х +…

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Q: y = Ce2*cos3x + C2e2xsin3x

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Q: Solve the following ordinary differential equations: 4x dx d²x dt dt² dx dt - 3=0

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Q: Q2-A) Solve the following differential equation using separablemethod. dy 3x + 4x-4 2y - 4 dx

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Q: Solve the following differential equation by using linear equations.  dx/dt = 1- t + x - tx

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Q: Solve the following differential equations: x-e-x %3D y+ey dy dx

A: Given- dydx=x-e-xy+ey To Find- The value of the above differential equations.

Q: Solve the following differential equations of 2y-3dy = y* ·e*; Linear Differential %3D dx Equation

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Q: Solve the following first order differential equation using Bernoulli's equation x²y – x³ = y*cos(x)…

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Q: Solve the following differential equation Integrating Factor by Linear Equations: dy/dx = 1/x+y2

A: We have given a differential equation, dydx = 1x + y2 ⇒ dxdy = x + y21 = x + y2 ⇒ dxdy = x + y2 ⇒…

Q: 2) Find the general solution of the following differential equation

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Q: y = Ae + Bxe* %3D

A: given  y=Aex+Bxex we have to form the differential equation .

Q: Solve the following differential equation with initial value = 6x² 2y+cos y y(0) = 0 b) x²y + xy = 1…

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Q: 3. Solve the Euler-Cauchy differential equation d²y dy - 3x + 4y = In² x – Inx dx dx? 2

A: Given equation is, x2d2ydx2-3xdydx+4y=ln2x-lnx

Q: Solve the following autonomous differential equation with the given initial condition. dx = 10 - 8x,…

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Q: Solve the following autonomous differential equation with the given initial condition. dx = 8 – 2x,…

A: Answer

Q: The solution of the following separable differential equation exy=e-y (1 +e-²x) is dx

A: Introduction: Differential equations that can have their variables separated to determine the…

Q: dy sec²(-x + y) dx

A: To solve the given differential equation

Q: Solve the differential equation: dx/dt = 5/x  x(0) = 6

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Q: Solve the following autonomous differential equation with the given initial condition. dx 10 - 8x,…

A: I use linear differential equation form to solve this differential equation

Q: Solve the following non-homogeneous differential equation: x2y''-2xy' + 2y = x3 In x.

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Q: Solve the following higher order differential equations using auxiliary equation with distinct…

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Q: (-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

A: -14x3y-3e-y-1dx+2x3e-y-2x3dy=0                                (1) Comparing to standard equation…

Q: Solve the following differential equation using the Method of Undetermined Coefficients y"+y' - 2y =…

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Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0

A: (2x-3y+1)dx-(3x+2y-4)=0The above differential equation is of the formMdx+Ndy=0where M=2x-3y+1    ,…

Q: Check the exactness of the following differential equation and find its solution: {2xy cos x² - 2xy…

A: Exact differential equation

Q: Find the order and the degree of the differential equation ду = COS X ax \əx²

A: The order of a differential equation is the order of highest order derivative term. The degree of a…

Q: хау %3D| xsec + y dx.

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Q: y = C1 e2x c cos 3x + c2 e2* sin 3x

A: The general solution is given as , y=c1e2xcos3x+c2e2xsin3x find differential equation.

Q: Solve the following differential equation Integrating Factor by Linear Equation: 1. y' + ()y = x* 2.…

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Q: 3)(xe +y)dx - xdy = 0 In x|+e ans:

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Q: Solve the following differential equations by finding integrating factor dy --y = e2x dx

A: We need to solve the given differential equation using integrating factor method.

Q: Q4 A) Solve the following separable differential equation dx = x2 - 2x + 1 dt

A: Let's solve diffrential equation.

Q: Solve the following ordinary differential equations: 4x dx dt d²x dt² dx dt - 3=0

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: 3x2 dx x3 + у+1 - 8(у + 1) %3D 0 dy

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Q: dy ューリ +xーyx +x² ス

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Q: Solve for the General Solution of the following Differential Equations using Separation of Variables…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Solve the following autonomous differential equation with the given initial condition. dx 10 - x,…

A: Given:- dx/dt = 10-x x(1) =4 To find:- Particular solution of given differential equation

Q: (1+y) ニ。 dx

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Q: 1) (x+y)dx+xy dy-0 ans:

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Q: Solve the following differential equation: fii(x)=4x3+3x2+2x+1 with fi(0)=2 and f(0)=1

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Q: - Find the differential equation associated to the equation: y=C₁e sin x + C₂e cos x

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Q: , solve the following implicit ordinary differential equations. y tan- y (). 4. y' = -, y (1) = 1 x…

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Q: Solve the following differential equation sec3x dt = tan2 t dx when x = 3π/2 , t = π/4

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Q: 2. Solve the differential equation dy 2y-cot x tan dx

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Q: Determine the order and linearity (linear or non-linear) of the following differential equations. +…

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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.