Q3-Solve the equation by determination method: 2x-4y 6 .. (1) x +y +z=1 ..* (2) 5y +7z -10 (3)

Q: Q58- By using Frobenias mothecl Solve ovE 6x°(I -x)Y+ 12x² C1+x}ý -C21-x')y=o

A: Given: 6x3(1-x)y''[x]+12x2(1+x)3y'[x]-(21-x2)y[x]=0 To find: Frobenius method

Q: Solve y" – 2y' – 3y = 3t² – 5 using the Method of Undetermined Coefficients.

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Q: Find the general solution using the method of undetermined coefficients. / x" – 4x =t² + 17t

A: Solution:

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: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: 3. Verify that y= 3e-2x + 4e* is a solution of the equation y" – 3y' + 2y = 0

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Q: Solve x?y" – 2ry' + 2y = x³ In x by first finding the complementary solution and then using the…

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Q: Use the method of undetermined coefficients to find the general solution: y" + 4y = 5t2

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Q: Y Solve using method of undetermined coefficents (D³+GD°+12D+ 8)y =o when x=0, y=1, y'= -2, y"= 2

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Q: V Solve using method of undetermined coeficents (D³+GD°+ 12D + 8)y =o when x=0, y=1, y'=-2, y"

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Q: Q5. Use the method of undetermined coefficients to solve (a) y" + 2y + y = x²e-". (b) у" — 2у + 5у 3…

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Q: Solve using method of undetermined coefficients (D2 + 4D + 5) = 13e3x + 50x When x=0, y=0, y'=0

A: Solution is given below:

Q: Solve by the subtitution method  x=3y+10 x-2y=13 (x,y)=

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Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2* , yo=y1=0.

A: According to question, Given equation, yk+2 -4 yk+1 + 4yk = sin k + 2k,y0 = y1 = 0

Q: 2X - y = 5 3x + 2y = 11 solve by using substitution method.

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Q: Solve by the subtitution method 2x+5y= 14 4x-7y= -23 (x,y)=

A: The given equations,2x+5y=144x-7y=-23

Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: Q9: solve x + 2z = 6 -3x + 4y + 6z = 30 -x - y + 3z = 8

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Q: 1/2x+1/2y=-1?  x-y=-4   need to solve using solution method, and specify as an ordered pair?

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Q: Use undetermined coefficients to find the particular solution to y''−4y=2e^−3t

A: Use undetermined coefficients to find the particular solution toy''−4y=2e^−3t

Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

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Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: Using RK4 method, Solve for y(2).  y' + 0.2y = 0  y(0) = 5 h = 0.2

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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 the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: 2xyy′ = y2 − 2x3. Find the solution that passes through the point (1, 2).

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Q: Q4 : solve 1) ez = 1+ jv3 2) z3 – 1 = jv3 3) e2z-1 = 1

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Q: Determine the type of DE/method of solution to be used and solve. y′ = x3 − 2xy, when x = 1 and y =…

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Q: C. Solve by the method of elimination. 1. Зу 2x + 3y =13 =D2 2. 3x + 10y = 2 X- 2y = - 6 3. 3x+ 2y =…

A: The elimination method is used to find the solution of algebraic equations. In the elimination…

Q: Q6- By using Direct metheds solve the lineair algebric Equatione- 15 X + 3 y + 27 = 85 X - 2 y + 82=…

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Q: Solve Q.) by Using Variation of Parameters method : 4ý+36 y = csc (3x).

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Q: (D²-1)y = x-1, solve using Method of Undetermined Coefficient. %3D

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

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Q: Solve using method of undetermined coefficients: 2y" + 3y - 2y = 14x² - 4x - 11, y(0) = 0, y'(0) =…

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Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A: Given that, D2+4D+5y=13e3x+50xwhen x=0,y=0,y'=0

Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Variation of Parameters.

A: Consider the given differential equation as y''' -8y'' + 4y' + 48 = 4x2 +1. The auxiliary equation…

Q: V Solve using method of undetermined coefficents (D3+ GD°+ 12D + 8)y =o when x=0, y=1, y's-2, y"-2

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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: Solve using elimination x + y + z= 6 5x + 2y + 3z =8 6x + 3y + 8z = 10

A: The equations are given by,

Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2*, yo= y1=0.

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Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

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Q: Use the method of undetermined coefficients to find the particular solution y, y" – 4y" + 4y' = 2x –…

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

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Q: Solve (4D² + 5D + 1) y – ' for y, using the method of undetermined coefhcients.

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Q: y" – 4y = 4e -

A: The non-homogeneous part of the differential equation is 4e3x, so by the method of undetermined…

Q: solve the sysyem of equations using the method of your choice 2x+12y=30 x+6y=15   (is this an…

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Q: y" – 4y' + 4y = x²e*

A: Here we have to solve the given equation using method of variation  of parameters. Where we use…