ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: Form the differential equation by elimanating the arbitary constant A,Bvfrom y=Ae7x+Be-7x

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Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: Solve the differential equation by variation of parameters. 1 y² + 3y + 2y = 2 + ex

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Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

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Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: Solve the differential equation by using variable separable method: ( cosxcosy – sinxsiny)dy = dx

A: Since we can write  (cos(x)cos(y)-sin(x)sin(y)) = cos(x+y). Now solve equation by rewriting as…

Q: +xy+(x-9)y=0 2 4 2.

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Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

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Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

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

A: See answer below.

Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

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Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y = 3+ ex

A: To Determine: solve the differential equation by variation of parameters. Given: we have a non…

Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

Q: Solve the differential equation by variation of parameters. 1 2 + ex y" + 3y' + 2y =

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Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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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 equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

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Q: Solve the differential equation by undetermined coefficients y" – y' = -3 а.

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Q: 2. y" + 25y = 5 tan² (5x) cos(5x)

A: The given problem is to solve the given differential equation, we have to solve it by using…

Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: y(4) 4х + 2хе %3D

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

A: Here the given differential equation is y''+1-xxy'-1x2y=ex-e-x This is a linear second order…

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: What is the differential equation of the solution: y = C1e-9x + C2xe-9x + C3e7x choices: (see…

A: We will solve the problem

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

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Q: y = Clx+ C2e

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Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

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

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Q: ry? V1+ x²

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Q: (D² − 4)y = 8e²x – 12 -

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Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = = 1 2 + ex

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Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: 21

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Q: Solve the differential equation  by undetermined coefficients. y"+y = 2x sin x

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Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

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Q: Use inspection to find four solutions to the differential equation: (y')^2+y^2=1

A: The given differential equation is

Q: Solve the differential equation by undetemined coefficients y" – y' = -3

A: Solution- Given y''-y'=-3 ⇒dy2dx2-dydx=-3-----(1) dydx=m ⇒m2-m=0⇒m(m-1)=0m=0, m-1=0≠m=1 Distinct…

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.