z° + 12z2 dz z6 + 8z3 + 41

Q: Z* +2z -2 dz =

A:

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

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Q: solve using method of undetermined coefficients 2y'+4y=3cos(2t), y(0)=0

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Q: Solve 4x-z y for x. y+z a. c. X=y+Z-4 4 b. y-z y X = X = =- +Z 4 d. 4.

A: Given, y=4x-z

Q: Q2) find the solution of: A) yk+3 +4yk+2 - 5yk+1=0 ,yo=4 , y1=-7,y;=23

A: Solution

Q: Find the Solution: 5. (D² – 4D + 4)y = 12x + 2e3* -

A: Find auxiliary equation then find complementary function and particular integral

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 using the substitution method. 9x-3y=12 and 3x-4=y

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

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Q: Solve the IVP. y'= 3y(7-y), y(0) = 6

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Q: solve (D2+5D+6)y=ex

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

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

Q: Q2) find the solution of: A) yk+3 +4yk+2 – 5yk+1=0 ,yo=4, y1=-7,y=23

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Find the solution: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b

A: We have to find the solution to the given equation.

Q: Solve (D2+5D+6)y=ex

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Q: find the solution (4D^2-4D+1)y=0 when x=0, y=-2, y'=2

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Q: Find the solution (D3 + D2 − 4D − 4)y = 8x + 8 + 6e-x

A: The given problem is to find the solution for the given non homogeneous linear differential…

Q: Solve 3 %3D 2z 1 -2 w 4 %3D -x + 2y 3z 5w 4 , W = + +

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Q: (D2 +9) y= 0

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Q: Q1) Find the general solution 4x²y" – 8x²y' + (4x² + 1)y = 0

A: 1.

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3x

A: The given differential equation, D2+6D+9y=18e-3x.....(1) is a non-homogeneous linear differential…

Q: Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: Solution:-

Q: az Solve (x² – y² - z²)p + (2xy) q = 2xz where p = əz II

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Q: 3x2 – 2y2 = 30 2a2 – y? = 23 %3D -

A: Given that the two non-linear equations 3x2-2y2=302x2-y2=23and x0=2y0=-1 We use Taylor series to…

Q: 3) Find y"(0), where y = 4x + 2x + 3

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: Q5. Solve: = y² (1+x²), y(0) = 1.

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Q: Find the six solutions of the equation z6 + 2z3 + 2 = 0.

A: We find z^3 using the quadratic formula

Q: y' = (4x + y)?

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Q: y'' - 6y' + 15y = 2sin3t

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Q: Solve y" – 6y' + 8y = 3e, where y(0) = 1 and y'(0) = 3. %3D

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Q: Find the solution set of 2x + 6y - 4z 12.

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Q: 5. (D4 + 2D3 + 10D²)y = 0

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Q: solve the IVp. (2x+3)y 4+52x+3, y(-D=0

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Q: (D³+ 7D² + 6D)y = 0

A: We have given (D3+7D2+6D)y=0.

Q: Find the solution. (D³+3D²– 4D)y = 0

A: The Auxiliary equation is D3-3D2-4D=0 solve for D D3-3D2-4D=0 DD2-3D-4=0D=0 or D2-3D-4=0 now…

Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1.

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Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

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Q: Solve (D² + 4D + 5) = 0 ,y(0) = 1 ,y'(0) = 0. %3D

A: Differential equation

Q: Solve the equation for y: 8. 3x + 2y 14 %3D

A: (8). Equation is given by 3x+2y = 14

Q: Solve (D² + 4)y = 0 %3D

A: We need to solve(D2+4)y=0

Q: Solve: y" + 4y = 8e¬2x + 4x2 + 2 using method of undetermined coefficients.

A: The equation can be written as: (D2+4)y=8e-2x Auxillary Equation is : D2+4 =0 Let D=m m2+4=0⇒m=±2i…

Q: Find the general solution: [D4 – 6D³ + 17D² – 28D + 20]y = 0

A: Since you have posted multiple questions and we can answer one question. So answer provided for…

Q: Find the solution of y''+6y'-7y=80e^(3t) with y(0)=7 and y'(0)=2 y=?

A: Differential equation.

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

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Q: Solve 3w + x - 2y + 2z = -2 -x + y - 2z = 2 w + 2x - 4z = 7 -2w + 3y + 2z = 6

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Q: Find the solution. y- y xy1/2 By -(3r-2- a,- © y-c3r-24½,:

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Q: Find the general solution 4. (D2 – 9)y = 0 - %3D

A: We are authorized to solve only one question, please repost remaining questions Differential…

Q: Q2: Solve the equation y"- 3y' + 2y 5e".

A: The given differential equation is  y'' - 3y' +2y = 5ex