Solve the differential equation.

Q: AJ'Solve the Differential Equation + w?y 0

A: Given: d2ydx2+w2y=0 So, we can also write as: D2y+w2y=0D2+w2y=0 So, the auxiliary equation is:…

Q: Solve the differential equation  4yp2+2px-y=0

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Q: b What is the general solution of the differential equation? Reason out why it is the general…

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Q: Qs: Solve the fallow ing differential equations 2.

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Q: Solve the differential equation. 4. y" + 8 y' + 16 y =0

A: Solution:Giveny''+8y'+16y=0To find the differential equationFormula:If α has double rootCF=eαx(Ax+B)…

Q: Solve the differential equation (b and a are variable (D²+4D+3)b=1+2a+3a?

A: I have find CF and PI and added them,

Q: B十西

A: given yn+1=n+3n+2yn claim- solve the differential equation

Q: Solve the Bernoulli Differential Equation

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Q: Solve differential equation  (D3+2D2+D)y=x3

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Q: Solve the differential equation y 2ху — х?у, у(1) %3D 2.

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Q: 3 X' -3 5

A: This question related to system of ode.

Q: Write the differential equation in linear form. Solve the equation and write y as an explicit…

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Q: Solve the differential equation: 4 + 3x?y = 6x². %3D

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Q: Solve the differential equation  4yp2-2px-y=0

A: Given: The differential equation, 4yp2-2px-y=0   To solve: The given differential equation.

Q: 5. у'+2у %3D х2

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Q: Solve the differential equation dR a(R + 9). dz

A: Given differential equation  dRdx=aR2+9dRR2+9=adx Integrating both sides, we get…

Q: Find two linearly independent solutions of the differential equation, then write the general…

A: We Know That,  If y1(x),y2(x) is a fundamental system of solutions, then the general solution of the…

Q: B)Solve the differential equation =(3+x¹)+x²e³x.

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Q: Check that the differential equation is linear and find the general solution Y'-(6/X)Y = x^4

A: Given differential equation is y'-6xy=x4 which can be written as dydx-6xy=x4. We have to check…

Q: Solve the differential equation. f '(x) = 9x, f(0) = 4 %3D

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Q: Solve the differential equation. (Assume the independent variable is x.) y" + 3y = 0

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Q: (D³ – 3D + 2)y = -7

A: The solution are next step

Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: V1- y?dx + V1- x²dy = 0

A: Proceed as shown below

Q: y" + 3y = -48x²e3x

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Q: Qs: Solve the fallowing differential equations

A: Given differential equation is xy3y'=x4+2y4. We will find the general solution of the given…

Q: p² + p – 6 = 0

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Q: (4)_y= 16e

A: We have to find solution

Q: Q:: Solve the differential equation to

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Q: (1+ x²)y' = x*y4

A: The given differential equation,(1+x2)y'=x4y4

Q: ydx-xdy=0    What is the solution of the differential equation

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Q: Solve the differential equation Y=3x+logP

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Q: 2ry'

A: 1st equation is not a differential equation. 2nd equation is reducible to linear differential…

Q: Solve the differential equation. (Assume the independent variable is x.) у" - у' — 20у 3о

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Q: Solve the differential equation y? 3x dr

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Q: 3x2 dx x3 - 8(у + 1) %3D 0 y+1 dy

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Q: Solve the differential equation  11x10ydx-15x11dy+y16sec2xy(xdy+ydx)=0

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Q: Solve the differential equation, find the general solution.

A: We will find out the required general solution for given differential equation.

Q: + 2ry =2e- %3D

A: The question isn't complete. Please resubmit the question with correct question. It is solved for…

Q: Solve this differential equation.

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Q: d²y dx2 +y = csc x

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Q: Solve the differential equation  P3x-p2-y-1=0

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Q: Solve the differential equation y=xp+p-p3

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Q: Solve the differential equation. y' + 5xeY = 0 %3D

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Q: Write the differential equation in linear form. Solve the equation and write y as an explicit…

A: The objective is to write the differential equation in linear form and solve the equation and write…

Q: Solve the differential equation y? In a = (2).

A: The given problem is to find the solution for the given linear differential equation, we have to…

Q: (D4-1)y=0

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Q: Solve the differential equation: 29 - y + 1=0

A: We have given the differential equation2y"-y'2=-1So, the auxilary equation will…