2x,+x,-7 X; + Xz - 3x, = -10 6x, – 2x3 + X4 = 7 %3D 2x, – 3x, =13 =D13 |

Q: Solue the following linear ystem +3x3=1 Ax, t 2xy -2x - =0 2x+ Xg g=4 |

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Q: Find a value of n such that y = (x^n)(e^x) satisfies the equation xy' = (x-20)(y)

A: given,     y = (xn) ex satisfies the equation xy1= (x-20) y

Q: Find the value of b and c in the form x2 + bx + c = 0 with solution x = 2- V3 and %3D x=2+ 3.

A: b= -(sum of solution)  c= product of solution

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: (c) x (x1, x2, x3) = 6x1x2x3 + +3+x}-I (d) ¤(x1, x2) = e-rl %3D 2x3+2x3+2x}+5 %3D X2+3

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Q: solution of the diffe d x; y(1) = 0, d:

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Q: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: a) -x +y - z = 0 2y + z = 3 z = 0

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

Q: Find the market equilibrium point for these e y = 48 – 3x? a) y = x? +4x+16

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Q: (D2 — 4D + 4)у — еЗx A. y = cqe2* + cze2x + e3x B. y = ce2* + c2xe2x + e3x C. y = ce2x + cze2* +e 1…

A: to find out the general solution of the given differential equation

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

A:

Q: Determine whether y=x-1 is a solution of V)'+y=-1

A: Given y=x2-1, taking derivative with respect to x. ⇒dydx=ddx(x2-1)⇒y'=2x-0  ∵dydx=y'⇒y'=2x…

Q: (D + 2)x + (D + 4) ỵ = 1 (D + 1)x + (D + 5) y = 2

A: Given simultaneous equation is D+2x+D+4y=1    (i)D+1x+D+5y=2    (ii) Eq. (i) can be written as…

Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: 7x+2y=8 x-2y=-8 Find x and y of linear equation using elimination method

A:

Q: +4x 6) y' = Ans.: y-x =e +C. 3y - 2xye"

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: particular solution for y"-4y'=-4 а)ур3-4х b)ур-4x+1 c)yp=x d)yp=4x

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Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

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Q: Find the general solution (D2 + 3D + 2)y = 1+ 3x+x² a. y = Cex+ Cze 2x + x² 1. b. y = ceX+ Cze 2x+x2…

A: The given differential equation is D2+3D+2y=1+3x+x2 To find the general solution of the equation.

Q: (ху+ усotx)dy — у(хdу+ ydx) 30

A: Given the differential equation             (xy+ycotx)dy-y(xdy+ydx)=0

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: 500 y = e600Xis a solution of Select one: а. y = - 600y %3D O b. y = 600y C. y = 800y O d. y = -…

A: We have given solution of differential equation  y=e600x ....(i) So  y'=dydx y'=600e600x y'=600y So…

Q: -4x² – 16x + 2; x # –7 f(x) = {"* -2; x = -7 A. -2 < y< 18 В. у S -2 С. y < 18 D. -2 < y< 18 E. not…

A:

Q: af If 2xy(-x² + y) + xe", what is ду ду? Select one: а. 4ху — 2x3 + хеУ ду? 2x(-x² + 1) + xe" b. ду?…

A: Given ∂f∂y=2xy−x2+y+xey

Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: d³x d2x dx -2- =0 dt dr3 dr?

A:

Q: A. In each exercise, obtain the family of solution. 2. (x-y)(4x + y) dx + x(5x - y) dy = 0

A: Given differential equation is first order homogeneous differential equation which can be solved by…

Q: Find the general solution Ans. y=(C1+C2x)eX+e*

A:

Q: solution for z(x, 0) = x², z(1,)

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Q: y"+ 4y = x What is the particular solution y.? Yp

A: helar we have to find particular solution of the given differential equation. the solution is…

Q: (xy+ 2)* - 3x+e" =e C.

A: Part 18CGiven,           xy+22-3x+e-y=e-x

Q: What is the general solution of ху(ху5 - 1)dx + х?(1+ ху)dу%3D0 ? A 2x°y³ - 3x² = Cx? B 2x?y5- 3x? =…

A: Solution: The given equation is  xy(xy5-1)dx +x2(1+xy5)dy=0

Q: Find the general solution of +3 d² y dx3 + 2x² % + 2x + d²y dx2 dy + 4y = 10x¬1 %3D

A: The solution is given as

Q: // (x+ y) dA, A = {(x; y) E R² : x € [0, 1), y E [2x, 2V]}; A

A: To evaluate the given double integral

Q: Find the solution of 2xV dx +y =x is O a. Wx = + C 3x½ +C O b. 2x2 +C 5/2 d. Wx = X + C 3.

A: Given, the differential equation,2xdydx + y = xDividing by x on both sides, we getdydx + y2x = 12It…

Q: Obtain the particular solution of (3x? - 2y-)y' = 2xy; x =0, y=-1. A x² = 2y²ty+1) B x² = y²ty+1) c…

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: (x³ – 9x2 + 16x – 144)y?dy (2x2 - 1)e4dx %3D

A: We will find out the required solution.

Q: 3x+0y=2 0x+4y=-3 what is the solution if any

A:

Q: y =-x² +2x+7 y =-2x +2 → Solution(s): %3D S y = x + 2x –3 %3D y= 2x+1 %3D → Solution(s):

A:

Q: The particular solution of y' +y = y² when x = 0,y = 2

A: Using variable separable method

Q: Specifically a differential equations problem. Question in pic below.

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Q: - find x, y z Select one: а. X-3,у-2,z-1 b. x=3,y=-2,z=1 С. X-3,y-2,z-1 d. x=3,y=2,z=-1

A:

Q: 3x d.A, A= {(x; y) E R² : y E [0, 1], x € [y, e®]} .

A: Given: A double integral ∬A3xdA, A=x;y∈R2:y∈0,1, x∈y,ey ∬A3xdA=∫01∫yey3x dxdy=3∫01x22…

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 for y' = y – xy³e-2x

A: