d'y (3x-5)(2x + +9x=6) Determine the and of y = 7x Solution:

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

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Q: Use undetermined coefficients to find the particular solution to y'' – 3y' + y = 4t2 + 6t + 5

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Q: solve using the appropriate method. (y − 1)y'= t , y(1) = −3

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Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: D. y" + y' - 3y = 4sin 2x

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: dy = y + Vx² + y² dr Find the general solution of x-

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Q: Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

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Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: Find the solution. xy'- xy = 1- y, y(1) = 0 A y --(1 - el-) © y -1+ el+")

A: Solution of the differential equation

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

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Q: y'-5y=x'e* – xe³* - хе

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Q: Use undetermined coefficients to find the particular solution to y'' + 3y' + 2y = 4e - 2t Y(t) =

A: Given:

Q: Find all solutions of y'= 3y. Which solution satisfies y(0) = 9?

A: Given differential equation is y'=3y. To find all solutions of y'=3y which satisfies y0=9. Solution:…

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: dy = 6x(y – 1)2/3. dr

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

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Q: Use the method of undetermined coefficients to find the general solution y'' +3y' +2y =e-t +t2 +2t

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Q: 2. JO (y+5) dy (y-3)

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Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: 9 y y' - -y x2 and find the solution that satisfies y(1) = 1.

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Q: 2senx y' - 2y =

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Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

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: use Separation of Variables to find the general solution. y' + x2y = 0

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Q: Use undetermined coefficients to find the particular solution to y''+ 7y' + 10y = 3e Y(t) =

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Q: Solve for the solution for the equation: y' + xy = 6x/y with the condition of y(3) = 6.

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Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: Solve: x dy -(3x+5y) + 15y = 0 and write your solution set as a single equation

A: Remember:1.if ax2+bx+c=0Then, x=-b±b2-4ac2a2. If y1 and y2 are general solutions of a differential…

Q: Find the solution of y − y = e2x , y(0) = 1.

A: Substitute value of the variable given in the equation. Then after calculation the value of other…

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

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Q: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

Q: The solution of y – 6y – 2y = 0 is -

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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: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Use undetermined coefficients to find the particular solution to y'' + 4y' – y = 5t° + 5t + 8 -…

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Q: Solve the nonhomogeneous equation: (D2-4)y = 2 –8x, when x=0, y=0, y’=5, using undetermined…

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Q: a) y" – 4y" + 4y' = 0 Find the solution of the equation that satisfies y (0) = Q,

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. Solve for y. D B 420 C0y-4 8. Find MZBCD. 40

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: Find the solution of the this differantial equation. y''' = 5sin2(2x)

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Q: %3D y +y = x2sin(2x) solve using undetermined coefficient only.

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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 Using left to right elimination method x-2y-z=0 x-3y+z=1 3x-6y+z=12

A: The given equations are, x-2y-z=0                                                       1x-3y+z=1…

Q: Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. %3D fom

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

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…