y" + 2y" + y" = x + eX %3D

Q: y"-9y=x/e^3x

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Q: Solve by "ref with back substitution 2x+3y-4z=1 x+3y=4 y-z=0

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Q: The solution of the 2" order IVP y" - y = 0, y(0) = 0 and y' (0) = 1 is

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Q: 24- ex +12x²-6,yc0)=2, yo)=3

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Q: General solution of 2xydx+y^2dy=0

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Q: Solve the initial value problem 2x y(0) = -2. y + x?y

A: The solution is given as

Q: 3. Solve 2x²y" + xy' − 3y = 0 with the initial condition y(1) = 1 y′(1) = 4

A: This is a Cauchy Euler equation. The equation is solved by a substitution.

Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

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Q: Show that y = ex + 3xex  is a solution of y"-2y'+y=0

A: The given differential equation is,

Q: a) Solve y' = 3x² + y, y(0) = 4 by choosing step length 0.1 for y(0.2) by Euler's improved method

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Q: Solve for the solution of the DE: y' – 5y = 0

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Q: Solve for X 0/4x 5х 3x R X S 2x, P.

A: We have given exterior angels of the Pentagon i.e.  4x,5x,x,2x, and 3x

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

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

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Q: Solve for y 6 + 3y = 12 O y = 2x + 12 Oy = -a+ 4 O y = -2x + 4 Oy=-2x + 12

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Q: Solve for Yp * y" – 9y = e3x

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Q: 28 Solve for x and y. (2y" (2x)

A: Please see the answer below.

Q: Use the Method of Undetermined Coefficients to solve the Initial Value Problem y" + 2y'+ y = 3t ,…

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system the auxiliary…

Q: A Q2 Show that y=x+ is the solution of 3x – x = x+ y. dy dx

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Q: 2senx y' - 2y =

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Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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Q: 2y" - 5y' + 3y = 0, y(0) = 3, y'(0) = -4

A: Given equation is 2y''-5y'+3y=0   Also given y(0)=3 and y'(0)=-4

Q: Solve for x: 4(x-5) =D9y 8. %3D x = [?]y + [ ]

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Q: Find the general solution of y" – y' – 2y = cosh 2t.

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Q: dr a) de rcose + rsene subject to r(0) = 1 (solve by separation of variables)

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Q: 2. Solve y' = 2x(x² – y), with initial condition y(0) = 1. -

A: This is first order linear differential equation

Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

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Q: 3. S(3Vx + dx 2 (x+3) + C

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: A. y– 2y +1 = (x + 1)e²x

A: To solve the given differential equation using method of variation of parameters.

Q: find the solution  x2y"+xy'+x2y=0, Assuming y(x)= sum n=0 to inf. anxn Solve correct answer do…

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Q: y" = 4

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Q: Solve 2yy′ + 1= y2 + x, with y(0) = 1

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Q: The general solution of the DE y"-y" + y'- y=0 is

A: We need to factorize this equation to find the solution.

Q: Solve y' = 6x, x' = x + y with initial conditions x(0) = 1, y(0) = -2.

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Q: Find the solution of y-x =0 using separable variable method. dx

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Q: solve the initial value problem  y' = (xe^(-2x))/(2y-4) , y(0) =1  thanks

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Q: general

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Q: Solve the initial value problem, y' = 2x y(2) = 0. 1+2y

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Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

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Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: Find a solution to the initial value problem, y" + 18x = 0, y(0) = -4, y'(0) = –5. %3D

A: To Determine: Find the solution to the initial value problem.

Q: Find the general solution of y" + 2y=ex +2.

A: The Auxiliary equation is D2+2=0 solve for D Therefore  D=±-2=±2i Therefore the solution is…

Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

Q: Find the general solution to 1 y' +

A: We have to find the general solution of y'+yx=1x4y34 .