Determine the general solution of the differential equation " - 43 + 3y = 0. O y= ce" + o2e-* O y- cie" + o2eu 30 = cje" + 2e y = cie -30 + 0ge None of the others

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: 2xy'-y= Iny'

A: Given,

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Q: 7. 2yy = e-: y(4) =-2

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Q: Solve the given differential equation by the method of undetermined coefficients. y"-2y'- 3y = 9x² +…

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Q: Q5/Find the general solution for differential equation. 13 y" - 5y" - y' + 5y = 10t - 63e-2

A: Solution :- y''' -5y'' -y' +5y=10t-63e-2tA linear non-homogeneous ODE with constant coefficients has…

Q: Find the solution of the differential equation (1+x* )y'+2.xy – 4x°y° = 0 (Bernoulli) %3D

A: We will find out the required general solution .

Q: 1. Find a particular solution of the differential equation. Do not solve the full equation. (a) y" |…

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Q: Determine the form of a particular solution for each differential equation 2 2. ""4" +4y' = 5x² - 2x…

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Q: (2x + 3)y' = y +(2x + 3)/2; when x = –1, y = 0 %3D %3D

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Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: 1) y = c x2 2) y = ce* + c2e¬*

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Q: Determine the form of a particular solution for the differential equation. Do not solve. y" -y=tet +…

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Q: Find the general solution of the following differential equations: a. +6- dr + 9 0. dr3 dr² dy + 4.…

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Q: Given the differential equation 3y" - y' = 2x, the complementary solution is A. y = C₁ + C₂ex B. y =…

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Q: What is the order of the differential equation which has a general solution given by y = Cie-2a +…

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Q: Find the general solution of differential equation Y"-2xy'+2y=0

A: Given a differential equation                            y''-2xy'+2y=0 We have to find the general…

Q: Find the Differential Equation whose general solution is y = C₁e4t + C₂e-3t Oy" - y' +12y = 0 y"+y'…

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Q: y' = 32 + y = 4.x – 4 It is known that the differential equation has a Y1 = a.x +b special solution…

A: Given that : y' =3yx+y2xRewriting the equation in the form of first seperable ODE,y' =3yx+y2x1yy+3y'…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: For which value of the constant c is the function y = 15e-® + x + c a solution of the differential…

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Q: y'+9xe"+3* = 0 y+3x

A: We use method of Variable separable to solve this differential equation

Q: Find general solutions of the differential equation (a) 9y(³) +12y" + 4y' = 0.

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