i. Determine the general solution of the above differential equation.

Q: Зу" + 2y' + у — 0

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Q: 9 Find the general solution to the differential equation y' where x > 0. y = +C

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Q: Find the general solution to the following differential equation. y" – 5y = e2z

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Q: Find a ge neral solution to the differential equation. y" - sy'-a4y = 0

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Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: Find general solution for the following linear differential equation: y' + 2ty = 4t.

A: Given that: y'+2ty=4t

Q: What is the general solution of the differential equation of (z + y?) dr + rydy = 0 (22

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Q: x +y = x³ /y X-

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Q: The given differential equation is

A: Given, 5xd3ydx3+3dydx-6y=sinx

Q: a) y-y = e*y?

A: See the attachment

Q: 1- Find the order and the degree of the following differential equation -

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Q: State the linearity and order of the differential equation t -()"+ 0. de

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Q: 4.Determine if the given function is a solution of the given differential equation

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

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Q: 4. Identify whether y' - 3y = 6 is a linear differential equation or a Bernoulli equation, and solve…

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Q: Solve the given differential equation. y' + y = y?

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Q: Solve the differential equation xyy = y – 1

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Q: Solve for the general solution of the given first-ordered Linear Differential Equation y' = x – 4xy

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Q: Find a particular solution to the differential equation y" + Oz/ – 16y = -768t°.

A: Given: y'' + 0y' - 16y = -768t3

Q: What is the general solution to the differential equation = (1 + y²)e*? dx

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Q: 5. y'+y = xy³; y(0) = 4

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Q: + tx* + = 0 + tx3 +

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Q: This is a second order differential equation, Give the complementary solution? xy"-2xy+2y = 2xe

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Q: 1. Evaluate the solution for the following differential equation

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Q: b) Find the general solution to the differential equation

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Q: In the given question , find the general solution of the differential equation. yr = x (1 + y)

A: The given differential equation is y'=x 1+y. Solve the above equation as follows.

Q: Determine the solutions of the following differential equations using Type IV:

A: Given that: (x2-x-2y+1)dx-xdy=0 and y(1)=12

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: Put the differential equation 5ty + ety' = = into the form y' + p(t)y = g(t) and find p(t) and g(t).…

A: Given differential equation 5ty+ety'=yt2+25 We have to write in the form y'+p(t)y=g(t)

Q: (i+ y? tXy?) dr t (x?y ty +2xy) dy

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Q: ;C, C2 and Cz åré årbi

A: y=c1e10x+c2e-9x+c3e8x; c1,c2,c3 are arbitrary constant.ddx(emx)=emxm+cIf we differentiate two times…

Q: Find the solution of the following differential equation.

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Q: Find the solution of the given differential equation.

A: Here in order to solve this differential equation, we will first check that the differential…

Q: Find the general solution of the following differential equation.

A: Here the differential equation is homogeneous so only complementary function is the final solution.

Q: Determine the differential equation of the following: y = Ae* + Bxe*

A: We have to determine the differential equation of given solution.

Q: Find the general solution of the following differential equation: (x^2 + 1)у' + 6ху -х

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Q: y +y=}(e* – e*)

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Q: Find an explicit solution to the differential equation y-y+3 =0.

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Q: Solve the given differential equation by separation of variables. dP/dt = P - P^2

A: Solve the given differential equation by separation of variables. dP/dt = P - P^2

Q: : Find the general solution for the following differential equations:

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Q: Find the general solution of the following differential equations

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Q: Construct a Differential Equation for the given equation y = a + bcosx., by eliminating the…

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Q: Solve the differential equation below; e* y' = (x + 1) y?

A: This question is related to differential equation.

Q: (Dª – 16D²)y = 0

A: Differential equation: - The generic solution is one that comprises as many arbitrary constants as…

Q: 1. Find the general solution of each of the differential equation y" – y' – 12y = 0.

A: As per our guidelines we can solve only one question at a time please post unsolved again.