у" + 16у — 0; Уi — сos 4x

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: y = C, cos 3x - C sin(-3x)

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Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: Solve this non-homogenous differential equation using variation of parameter: (D2+1)y = sec3(x

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Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

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Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

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Q: Find the differential equation that has y = C1 + C2x as its general solution.

A: To find the original differential equation we  have to eleminate the arbitrary constants by…

Q: 4. Solve this linear differential equation by using the appropriate integrating factor +y =x - 1+

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: y = Ae* + Be-*

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Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

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

A: Given equation is              y=Cekt

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

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: Form the differential equation by eliminating the arbitrary constant A, B from y=Ae?x+Be7*

A: We have to form differential equations

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

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Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

Q: Identify the differential equation that produces the slope field below. // ||// // 2.

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Q: is the differential equation of the sol

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Q: 13.ydx + (3x —ху+ 2)dy — 0

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Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Give the differential equation that has as its general solution. y = C₁ sin(2x + C₂)

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Q: Solve the given differential equation by undermined coefficients ya) – 5y" + 4y = 2 cosh x – 6.

A: By Bartleby policy I have to solve only first one as these are unrelated & lengthy…

Q: 4.y = C₁e-2x + C₂e³x

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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: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y = 6+e* Show all your…

A: Use the procedure of method of variation of parameters to solve this problem.

Q: Find a differential equation whose general solution is y = cie" + cze *. = 0

A: To find a differential equation whose general solution is given by, y=c1e7t+c2e−3t

Q: y(4) 4х + 2хе %3D

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Q: Assume that the rate of evaporation for water is proportional to the initial amount of water in a…

A: Here, given that rate of change of evaporation is proportional to the initial amount of water.…

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: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

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: Find a differential equation whose general solution is y = cje% + cze¯74. = 0

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Q: ry? V1+ x²

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Q: dy :-y = xy2 dx

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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: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: = Form the differential equation by eliminating arbitrary constants : y = ax +0x , .3

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

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