Determine the solutions of: y^n  + 4y  = 0 y(-π) = y(π), y´(-π) = y´(π)

Q: solve 2x-y=5 and 3x+2y=11 by using substutional method

A: here we get the value x=3 and y=1

Q: Find the number of non negative solutions to x+y+z= 21. With the conditions that x < 3, y ≥ 2, z ≥…

A: Given that x+y+z=21 with the conditions x&lt;3, y≥2, z≥4

Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

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Q: SOLVE X²y" + xy² - (4x² + 1 ) y = =0 BY BESSELS METHOD.

A: As per the question we are given a second order linear homogeneous differential equation and we have…

Q: 4. Use the method of variation of parameters to find the general solution of the equation

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Q: Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0

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Q: y"- y' = 4e-* +3e2x: y(0) = 0,y'(0) =-1, y"(0) = 2

A: We have to solve the equation using method of undetermined coefficient.

Q: Solve for x, y, z and w by Gauss elemination Method. Given: 12x-8y+6z+10w=26

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Q: Obtain general solution of y' = y + y^3.

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Q: (x) + Find the general solution аху- х+у о у-xlncxЈtc 2 x² Ў= х²-хутуг у-х- х Нихте з y = x + y + y…

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Q: Find the solution of y'' (x) = y(x) that fits in origo and goes through the point (ln2,(3/2) )

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Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: solve 2x – y= 5 and 3x + 2y = 11 by using substutional method

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Q: Obtain 2 linearly independent solutions valid near the origin for x>0 2хy" + 5(1 — 2х)у' — 5у %3D 0.…

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Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: y" -4y' + 13y :

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Q: 2senx y' - 2y =

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Q: Solve y”+9y = 2cos(3x)+3sin(3x) using the method of undetermined coefficients. Show all support…

A: The given differential equation is…

Q: solve using the appropriate method.xy = 2y + x − 1, y (3/2) = 9

A: We have a function in two variable (x,y)  and a value at particular x. we can separate y and x both…

Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: Differentiate: y = 4cos (-)

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Q: Solve the nonhomogeneous y'+ 2y equation

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Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: Find the general solution of ylty = 2xcosx -cosX %3D

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Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given,…

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x 2, y = 1.

A: Given differential equation 2ydx=3xdy and when x=2,y=1 The objective is to find the general…

Q: Solve the value of x in the given equation _by Jacobi and Gauss-Seidel Method. 13x2 + 4x3 = 111 4x1…

A: Given the equation system  19x1-13x2+4x3=1114x1+22x2-13x3=-1288x1+8x2+17x3=10 We have to solve the…

Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

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Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: Solve by the addition method    x+2y+3z=-5 2x+y+z=1  x+y-z=8

A: To Determine:   Solve by the addition method

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.

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Q: 1. y' = x3 – 2xy, when x = 1 and y = 1

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Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: Obtain the general solution valid near the origin: x(х — 2)у" + 2 (х — 1)у' — 2у 3D0

A: The differential equation has singularity at the origin. So we find the solution by Frobienius…

Q: Sa 3dx 1. (x+6)Vx+4 2. V-1+2 dt

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Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

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Q: solve 2x-y=5 and 3x+2y=11 by using substution method

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Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: Solve by Z method dz 2. 1-2²

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Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0