The solution to the equation is ged (D²-D-6)y(x) = xe %3D 1 1 -xe" (5x-2) - y,(x) 50 1 د. غير ذلك y,(x) 50 e*(5x + 2) -7 y,(x) = xe" (5x + 2) -i 50

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

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Q: find the general solution with egienvalues and the phase potrait

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Q: Q5. Use the method of variation of parameters to solve (x – 1)y"- xy' +y = (x- 1). |Variation of…

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Q: Solve using Gaussian method 2x+y+2z-4w=10 x+3y+2z-11w=17 3x+y+7z-21w=0

A: Given:

Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: Find the general solution:  2. xy' - y = √x^2-y^2

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Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: solve (D^3-3D^2+3D-1)y=x^2(e^x)

A: Solve the differential equation:  D3-3D2+3D-1y=x2exD-13y=x2exy=1D-13x2ex   y=1D-13x2ex  =ex1D+1-13x2…

Q: x  -  2y  +3z  =17 2x  +  y   +z =  9 -3x  +2y  - 2z  = -19   solve for x,y,z

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Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: ye2xdx ye2x. (4 + e2x)dy

A: The given equation is ye2xdx=4+e2xdy The given differential equation can be solved by converting it…

Q: x' = 4x + y + 2t, y = -2x + y %3D

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Q: Find the solution of y'' (x) = y(x) that fits in origo and goes through the point (ln2,(3/2) )

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Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

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Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 +…

Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

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Q: y' +(E- 1)y ==

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Q: Find the general solution and the particular equation of the Equation Linear 2ª order given the…

A: We have to be find solution

Q: 7. Verify that y = x2 - 1 is a solution of (y')* + y? = -1.

A: Given- y=x2-1 To verify- That the above function is the solution of y'4+y2=-1.

Q: tion: y" – 3y' = e3 – 18x. - -

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: Find the particular solution 3у %3 х3 — 2ху; when x %3D1, у %3D1. = x 2xy; when x = 1, y = 1.

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Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: Find the auxiliary equation with constant coefficients satisfied by  e^2x , e^-x , e^3x , e^5x

A: Let's find.

Q: 5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x

A: To Solve: Solution of ODE

Q: find general solution to y''+y'+y=2xe^x

A: on solving the given differential equation by indeterminate coefficient method we will get the…

Q: S sec 2ydy

A: Topic:- integration

Q: Particular solution of y' = x+xy²/4y, y(1) = 0

A: Given differential equation- y'=x+xy24y   , y(1)=0 We need to find particular solution of the given…

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: Find the general solution to x*/ = x*y – y°.

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

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Q: ∫−4x2(4x3−1)7 dx. Do not include the constant "+C" in your answer. For example, if you found the…

A: Given:-∫−4x2(4x3−1)7 dx We have to find antiderivativeLetI = ∫−4x2(4x3−1)7 dx — (1)Substitute4x3 - 1…

Q: general solution of (D2-1)y=2/1+ex

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Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A: Given data,y''-2y'+1=0We have, (D2-2D+1)y =0The auxiliary equation is m2 -2m+1 =0 ⇒m= 1,1When the…

Q: xy' +2y = x* -x +1 %3D

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Q: First order linear of 2x3y'=y(y2+3x2)

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Q: Find general solution of DE by both methods (independent variable missing and dependent variable…

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

Q: Find the general solution of the equation д и 2 ди 3 ди 3 + дхду х-у x-y ду (x - y)2 дх u = 0).

A: The solution is given below

Q: 4. Solve (x-2)y" - (4x-7)y' + (4x-6)y= 0, if y₁ = e2x is one known solution? HO The Cystem 2e²t

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Q: ng through the point that is ion. 10. (-3, -2); y = x – 2 12. (-1, -6); r + 3y = 6

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Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

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: x  -   y  -  z  =  2 -x  +2y  - 3z  = -5 3x  - 2y  - 7z  =3 solve x, y and z

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Q: Evaluate B: А: Vye-y° dy 3e-4z2 dz 0, 0,

A: There is a general integral that gets calculated with the help of β function. The integral is…