Which of the following is the general solution of the DE y" - 12x?? a y-x- Cx +C b. y-+Gx + C, C y=x*+ Gx +C2 d. y= 4x - Cx+C

Q: The IVP y =y cost , 0st<1, -1sysland y(0) = 1 has a unique solution Select one: a. True b. False

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Q: Obtain the particular solution. 9 y"-24 y'+16 y=0; when t=0,y=y'=3

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Q: Find a particular solution to： y''+5y'+4y=10te^(4t) y(p)=?

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Q: Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b.…

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Q: Let y (4)-y ""=1+ 2e*. Then we can write a suitable form of a particular solution as: Yp= Ax + Bxe…

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Q: Find a particular solution to y" + 4y' + 3y = -16te²".

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Q: Which of the following is a general solution to the DE y = 3x? +5? A y= x3 + 5x + C B y=x3 + C ©…

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Q: Specifically a differential equations problem. Question in pic below.

A: Here, y’’ +2y=-8x

Q: Let y(x) be the solution for the DE : y = (x + y + 2)2 If y(0) = -2, then find y() ○2-푸 O 8 - T O -…

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Q: The solution of the IVP y = x2(1+y), y(0) =3 is O None of these. y= 4e 3 - 1. y3 xe + 3. .3 3. y36e…

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Q: Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac &gt; 0

A: ay'' + by' + cy = 0 and b2 - 4ac &gt; 0 We need to provide the general solution of the given…

Q: у" + 2y' +y = 4e' ¬x

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Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

Q: Find the general solution of the following IVP: y"- 2y' +y = 0 ,y(0) = 5, y'(0) = 10.

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Q: The solution of the DE (4xy -3)y' =-2y² -1 is 2xy² + x – 3y = c O None of these 2хy? - х - Зу 3 с…

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Q: Find a particular solution of (8) y′′′−4y′=t+3cost+e−2t.

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Q: The solution of the following IVP:y' =y3 x e*, y(0) = 1 Select one: a. y=V4-2 ex2 O b. y=V2-ex? O C.…

A: Given IVP is y'=y3xex2, y0=1 We have to find the solution of the given IVP. Now y'=y3xex2…

Q: Determine whether yp₂ (x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

A: If yp is a solution of the differential equation f(D)y=Q(x), then yp satisfies the differential…

Q: Which of the following is not a solution to d'y dr2 4y +1

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Q: Which of the following is a solution to y" – 6x = 2? a. y = x3 b. y = x c. y = x3 + x? с. d. All of…

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Q: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

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Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

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Q: The solution of the following IVP:y'=y³ x e*, y(0) = 1 Select one: O a. y=V4-2 ex2 O b. 1 V2- ex? C.…

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Q: Find a particular solution to 11.5e5t y" – 10y + 25y t2 +1 Yp %3D

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Q: Determine whether the following statement is true or false. is a solution of the IVP eYdx- edy D0;…

A: To solve the given differential equations and state whether the statements are true or false

Q: What is the particular solution of (2ay? + 3x?) dæ + (2æ²y + 4y³dy ) dy when 2 and y 1 O x? y? + x³…

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Q: What is the solution of the DE: x²dy + y²dx = 0? A. x+y = cxy C. -=c x y B. D. None of A, B, or C -…

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Q: Obtain the general solution unless otherwise instructed 2. y - y' - x = 0 Ус = Ур y =

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Q: 8x²y" + 10xy' – (1+x)y = 0

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Q: Which of the following is a general solution to the DE y = 3x2 +5? A y=6x+C B y= x3 + C © y=3x²+ C D…

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Q: Suppose that the DE y"" (x) + 7y(x) =70 2³ +123 has a solution of the form y = Az³ + B Find the…

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Q: 03) Prove or disprove that y = ce* + de ²x is the solution to y(2) + y(¹) - 2y = 0.

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Q: Q/ Find the general Solution of the diff. equ- x*y"+2xy-2y=o ?

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Q: Which of the following is the general solution of x 2 V) 2 -xy'-56x 2 =0? O a.…

A: We have to solve given problem: Note: given differential equations is wrong. According to options…

Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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Q: What is the particular solution if y(1)=D0? 1/2 xy = y+ (a² + y³)2

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Q: Find the general solution of the DE: y" + y" – 16y' + 20 = 0.

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Q: Find the general solution to the homogenous DE y'-16у' + 64у %3 0

A: The given homogeneous DE is y''-16y'+64y=0. The auxiliary equation is m2-16m+64=0.

Q: Determine a general solution for the DE : y" + 2k?y' + k*y = 0

A: We have to find the solution for given differential equation

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution. A y(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the general Solution of the diff. equ- x*y" +zxy-2y=D0 ?

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Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

A: Use the given differential and initial conditions.

Q: Find the general solution of (D^3- 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

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Q: Verify that yp = 3e2x is a particular solutions of y" − 6y′ + 5? = −9e2x .

A: Explanation is given below...

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(1) =…

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Q: y" + 10y + 25y: 18e-5t t2 + 1 Yp =

A: Given : y" + 10y' + 25y = 18e-5t/(t²+1)