The complementary function(C.F.) of the differential equation(D-6)ʻ(D+4)y=6x is O (c1 + c2r)e + c3e O (C1 + C2T)e dz + C3e 4z O (c1 +C,t)e + Czetz O (c1 + C2r)ez + Cze 1z

Q: The complementary function(C.F.) of the differential equation (D – 7)(D² + 7?)y = e7² is O (c2 Cos…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: The complementary function(C.F.) of the differential equation(D – 7)²(D+3)y = 7x is_ O (c1 + C2x)e=…

A: Differential equation and complementary function

Q: Find the solution of the differential equation (D* – 2D° + D°) y = 0 | y = C, + C,x + e*(C, + y = C,…

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Q: The differential equation 6y dx - x (2x²+ y) dy = 0 can be treated as a Bernoulli equation in…

A: We need to choose correct option.

Q: 2x Verify that the function y = C1e^ + C2e is a solution of the differential equation y" - 3y + 2y =…

A: Given a differential equation, y''-3y'+2y=0 To verify that the function y=c1ex+c2e2x is solution of…

Q: The complementary function(C.F.) of the differential equation (D – 7)°(D + 3)y = 7x is_ O (c1 +…

A: See the solution step by step.

Q: 3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0, А. (х — у + 1)3…

A:

Q: The complementary function(C.F.) of the differential equation (D – 8)² (D + 4)y = 8x is_ - O (c. +…

A: Given that the differential equation be       (D - 8)2(D+4)y = 8x Here we have to find the…

Q: The order of the differential equation 2x² ª -3 ay +y=0 is: dx dx a) О2 b) O 1 a00406 c) O not…

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Q: The complementary function(C.F.) of the differential equation(D - 5)y= cos 5æ is_ O (ci + c2a –…

A: Given that  (D-5)^3y=cos5x  To find the complementary function

Q: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

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Q: The complementary function(C.F.) of the differential equation (D³ – 8)y = sin 4x is cje2" + e¯ c2…

A: We will solve the problem.

Q: a) Verify that the function y = x? + x2 is a solution of the differential equation xy' + 2y = 4x²,…

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Q: Find the differential equation 3(x² + y²)dx + x(x² + 3y² + 6y)dy = 0 а.хеЗу + 3x2уеУ %— С b.xe" +…

A: Topic:- solution of differential equations

Q: Which of the following differential equation is non linear, second degree, dependent variable is y,…

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Q: The complementary function(C.F.) of the differential equation(D – 6) (D+ 4)y = 6x is_ O (cı + c2x)e0…

A: Given: D-62D+4y=6x

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

A: The solution is given as

Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: a) Show that y = C,e-2x + C, e-3* is the solution for the differential equation y+5y'+ 6y = 0, where…

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Q: The indicial equation for the differential equation хy" + 5у" - бху %3D 0 is O A. "(5r – 1) = 0 А. O…

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Q: A solution for the differential equation dy =elx-2y is dx a. e2y 7x e +C 7 b. – e2" 2 y 7x +C 7 2 С.…

A: To find: The solution of differential equation: Given: The differential equation is dydx=e7x-2y.…

Q: The indicial equation of the differential equation 3xy" – 2y' - 2y = 0 is: O 4r(r+1)+1=0 O r(3r-5)=0…

A:

Q: The differential equation formed by eliminating arbitrary constants a and b : y = ax + bx + 13 is O…

A: A. y''  = 0

Q: The complementary function(C.F.) of the differential equation (D – 6) (D² + 6²)y = e&" is_ cie0a +…

A:

Q: Find a differential equation whose general solution is y = cje" + c2e¯. %3D О У - 12у - 27у 3D0 O y"…

A: we are given the solution of the differential equation as  y=c1e9t+c2e-3t

Q: 8. Find the solution of the differential equation (D* - 2D +D )y = 0 y = c, + C,x + e*(C, + y = c, +…

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Q: What is the differential equation obtained by eliminating the parameter A from the 28 relation y = A…

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Q: Find the differential equation of the following function (х %3D Зу — 4)dx + (x + 4y— 5)dy %3D 0 а. у…

A: Let's find.

Q: The complementary function(C.F.) of the differential equation(D - 3)°y= cos 3x is O (cı + czx +…

A: Thanks for the question :)And your upvote will be really appreciable ;) As per guideline, only one…

Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: The complementary function(C.F.) of the differential equation (D – 7)°(D + 3)y = 7x is_ (c1 +…

A:

Q: 5. In the differential equation, (D³ – 2D² – 3D)y = 0; assume a. y, = A + Be¬* + Ce3* b. y, = A +…

A: This question is based on solution of complementary function.

Q: The complementary function(C.F.) of the differential equation(D – 3)°y=sin 3x is O (ci + c2z +…

A: Solution: The objective is to find the complementary solution of the given differential equation

Q: Discretize the differential equation y" + 3y' - 2y = 8(t + 1), y(-2) = 0, y(0) =0 witl %3D %3D -10…

A: Given:- y"+3y'-2y=δ(t+1) , y(-2)=0, y(0)=0 with step-size h=12

Q: The differential equation formed by eliminating arbitrary constants a and b: y= ax + bx +9 is O y =…

A:

Q: The differential equation of y = Ae + Ber is: %3D o y" - 11y +24y = 0 O y" - 11y +8y 0 O y" + 11y+…

A: We have the given equation as y=Ae 3x+Be8x              ⋯⋯1 Differentiating both of the side of…

Q: What is the differential equation of x²y = 4 + cy ? A. 2y + xy' = 0 B. 2y'+ xy2 = 0 C. 2y'+ xy " = 0…

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Q: 10. Find the solution of the differential equation (D° + 8D° + 16D)y = 0 A. Y = C, + (C2 + C3x)cos c…

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Q: Let y=f(x) be a solution to y′=y^2−6y+ 5 What are the constant solutions to the differential…

A: Given that  y=f(x) be a solution to y′=y^2−6y+ 5

Q: Form the differential equation for the function xy ax2 + 2bx-c O a. xy" + 3y" 0 O b. xy" - y" 0 O c.…

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Q: The indicial equation of the differential equation xy" –x²y' + (1+ 2x)y = 0 is: O r(r-1)=0 None of…

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Q: 8. Find the solution of the differential equation (D* - 2D° + D*)y = 0 y = C, + C2x + e*(C, + y = C+…

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Q: What is the general solution to the differential equation y- (9 - + = 0 ? dx In(Ay – 2) = Ax +B y2 =…

A: We have given a differential equation ,  yd2ydx2 - dydx2 + dydx = 0 This can be written as ,  y y''…

Q: Verify that the function c,(x + y)° = xek is a solution of the differential equation (x² + y² }kdx…

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Q: Which of the following is a homogeneous linear differential equation? D³(D2 – 4)y = 3x+ 2e¯3x | о у"…

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Q: The indicial equation of the differential equation x²y" – x²y' + (1 + x)y = 0 is: O r(r-2)=0 None of…

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Q: Transform the differential equation 3y" - 6y'+ Axy = 0 , into a Sturm-Linville differential equation…

A:

Q: 10. Find the solution of the differential equation (D5 + 8D3 + 16D)y = 0 y = C1 + (C2 + C3x)cos А. y…

A: We have to find the solution of differential equation.

Q: The complementary function(C.F.) of the differential equation(D – 6)²(D+5)y= 6x is_ O (c1 + c2x)eôz…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.