(30) Solve the following linear equations. (C) 3(2x – 4) = 9 – 3(x + 1) -

Q: хdу + (1 — 3х)ydx %3D Зxdx

A: The given differential equation is: xdy+1-3xydx=3xdx Rearranging this given equation: dydx+1x-3y=3…

Q: 2. Use the method of undetermined coefficients to solve the equation y" – 3y + 2y = e +2.

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Q: - Find the linear equation that satisfies the following: f (3) = 10 and f(5) = 24 %3D I

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Q: a) Solve (t3 + y³)dt – ty²dy = 0

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Q: Solve the non-homo. D.E. 1.y" + y = 3e2x

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Q: find the general solution of the given equation. 3y'' - y' = 0

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Q: Solve the linear equation using Gauss- Seidel -3.1х — 2.1у + 6.1z %3D 9.9 5.4x + 2.2y – 2.7z = 15.7…

A: In this question we will use basic of algebra i.e concept of solution of simultaneous linear…

Q: Solve the second-order equation y" + 2y' – 3y = 9x with initial condition y(0) = 0, y' (0) = 0.

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Q: Find the general solution of the given equation y''  - 4y = 0

A: The differential equation y''+4y=0 is a second order differential equation. So we find its…

Q: Find the general solution of the given equation y" + y = 0

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Q: a) Solve the following linear equation by Cramar's - y + 2z = -4 Bx + y – 4z = –6

A: In this question, the concept of the Cramer rule is applied. Cramer Rule Cramer's rule is an…

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

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Q: Solve y" + ω2y = 0 by method (c) above and compare with the solution as a linear equation with…

A: Consider the given differential equation y"+ω2y=0

Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y" - 8y=0

A: We have to solve given problem:

Q: 5. Find a particular solution to the equation -2x y" + 4y' + 4y = xe¯

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Q: solve this linear equation using gauss seidel x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

A: The given equations are; x+ y−z=02 x−3 y+z=12 x+ y+2 z=7

Q: Solve for the solution of this D.E. y''' + 2y'' - 5y'-6y=0 Which has values of y=3, y'=6. y''=12…

A: Now , we have a homogenous differential equation . y'''+2y''-5y'-6y=0y(0)=3y'(0)=6y''(0)=12 We find…

Q: x+y-4) dx-(3x-y-4)dy=0; when x=4, y=1 Solve using Coefficient linear in the two variables

A: ( x+y -4)dx-(3x-y-4) dy = 0 , x=4                                                               y…

Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0

Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: Find the general solution of the fifth order linear equation: y(6) – 6y(3)+9./ 0

A: First form the auxiliary equation and solve it for roots than write the solution with its help.

Q: d. x+ 3y + 2z = 1 5x + 4y – 3z = 4 3x -5y - 4z = -1

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Q: 8. Find the solution of the equation 1 z =- (p² +q°) + (p– x) (q – y) 2 which passes through the…

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Q: determine the particular solution of: y"-4y'+3y=e^t +t^2

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

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Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Solve the following difference equation with initial conditions: 12Yn + Yn+1 = Yn+2, Y₁ = −2, Y₂ =…

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Q: Find the general solution using the method of undetermined coefficients. dx +7x=8e° dt -41

A: Answer

Q: 1. Find the general solution using variation of parameters. y" – 4y + 4y = (x +1)e²r

A: Solve by using variation of parameters.

Q: ay - 3y = x*; dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Solve the following equation for c: 1 2-c-z 2-²-y 1 dz dy da 10

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Q: 4. y' + 4y = x?

A: Given information: y' +4y=x2

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = –-4 3x + y – 4z = -6 2x + 3y…

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Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

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Q: 5. Find a particular solution to the equation y" + 4y/ + 4y = xe-2".

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Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: Find the general solution of the fifth order linear equation: y(5) – 6y(3) + 9 .y' = 0

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Q: B/Solve the following equation - 4t + 6y = t³ + 1 dt2 dt

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Q: Find two linearly independent solutions of the equation (x-1)y"+y=O for |x|<1

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Q: a) Solve the following linear equation by Cramar's rule:- - y+ 2z = -4 x + y - 4z =-6 x+ 3y – 4z = 4

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

Q: Find the equation of a line parallel to x = -8+ 2y that passes through the point (8, –2). Oy = -x –…

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Q: Solve the following D-E 2) y³y" – 3y*y' = 0

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Q: Solve the following equation. | (2t – 6) dt = 0

A: Recall the rule of integration: Integral of xndx = xn+1

Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

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Q: 2. Solve the IVP: *+ 2y = te-2", y(1) = 0 dt

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Q: Solve for the general solution. d³x dx -7. - + 6x = 0 dt3 dt

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Q: Solve of the following equation 4 y' +y = x³y2 Given by

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Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2