Which of the following equation/s is/are a separable differential equation?

Q: Which of the following differential equation

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Q: Solve the differential equation with discussion of setet soluilon? X g -y = x yR lin (x) %3D

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Q: Show that the following differential equations are homogenous and solve

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Q: What is a separable first-order differential equation?

A: If in a first-order differential equation we can get the x terms on one side and the y terms on…

Q: y" + y = secx tanx

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Q: Which of the following is an exact differential equation?

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Q: find the timear form of this differential equation

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Q: - A first order Bernoulli's differential equation is in the form

A: To find first order bernoulli 's differential equation is in what form.

Q: Obtain the differential equation of the following

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Q: Let the ordinary differential equation of order 2: y'' − 2??' + 8? = 0

A: Solve above ordinary differential equations.

Q: Determine whether the following equation is a solution to the corresponding differential equation.

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Q: a) Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

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Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: у' — (cotx)у %3D- (2сosx)у-2

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Q: The Cauchy -Euler equation is a a differential equation with constant coefficients.

A: yes this is true because A second order Cauchy-Euler equation is of the form…

Q: Prove that the given is a solution to the differential equation written oppose it.

A: We will prove the given statement.

Q: 2

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Q: Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

Q: (ye Cn2

A: Using the exactness property of differential equations.

Q: Obtain the differential equation associated with the primitive y = Ae3x + Be2x + Ce*.

A: Given differential equation is we have to obtain the differential equation associated with the…

Q: the given Cauchy-Euler equation to a differential equation with constant coefficients. (U

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Q: Which of the following differential equations are separable?

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Q: By climinating the arbitrary constants, form the differential equation in the fotowng cases: 1- y2 A…

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Q: y" + 3y=-48x²e³x

A: Differential equation and it's solution

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

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Q: Which of the following differential equations can be classified as separable and exact?

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Q: Which of the following is a Linear differential equation ?.

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Q: y= 4 + Inx; xy'

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: whether

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Q: Consider the following differential equation / = What is the general solution ?

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Q: d²x 7x + 3- dt2 dt 2- - t dx

A: 7x+3d2xdt2=2dtdx-t Multiplying both sides by dxdt , we get 7xdxdt+3d2xdt2dxdt=2-tdxdt              1

Q: Find the solution of the following differential equation using appropriate method.

A: Here we will find out the required solution.

Q: Which of the followings can be considered as integrating factor for the differential equation xdx +…

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Q: Show that the following differential equation is exact and solve the equation as an exact…

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: 3. Show that the differential equation zxy

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Q: Obtain the differential equation of the family of lines passing through (-1.1).

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Q: State whether the following differential equations are homogenous or not. If yes, state the degree…

A: The given differential equation is3xydx-2x2dyx+y-y3dy=0which can be written as     3xydx-2x2dyx+y=…

Q: Solve the following differential equations using Homogenous Differential Equations.

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Q: be

A: Mdx+Ndy is complete if partial derivative of M wrt y=partial derivative of N wrt x

Q: а. у %3D Ае2х + Вхе2x

A: We eliminate A and B by taking first derivative y' and second derivative y''

Q: Find the general/particular solution of the given differential equation:

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 4te dt TOT

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Q: The roots of an auxiliary equation are m1=4, m2=m3=-5. What is the corresponding differential…

A: If the root of the auxiliary equation is m1=α and m2=β, then the corresponding differential equation…

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: Which of the following can NOT be the linearly independent solutions of the differential equation y"…

A: Here 1, x are the solutions of ode. then their linear combinations also solution  but option C can’t…

Q: Obtain the Differential Equation of all circles passing through the origin and (0,8).

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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.