Q:/ Find the solution of the following systems which satisfies the indicated conditions: (xo = -2 : yo = 0 : y% = -6) (2D? + 3D – 9)x + (D² + 7D - 14)y = 4 (1) ... (D + 1)x + (D + 2)y = 0 .. (2)

Q: 3) V12-b+4= 6

A: #3 Given,   12-b+4=6

Q: (D² -3D +2)y = (1+e×)-¹

A: D2-3D+2y=1+e-x-1 In this question we have to find the complementary function and particular…

Q: 2 (x-1)y+2y=(メ+1) Find general Solution.

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Q: Find the value of which satisfies the pair of equations 2(x+2y)+ 3(3x-y)=38 a 4(3x+2y)-3(x+5y) = -8.

A: Given

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: Q1/ find the solution to + (1-4h?)y-ein(2n) -0 %3D y(0) = 0.2.

A:

Q: a. Calculate the discriminant.b. Determine whether there are 0, 1 or 2 real solutions tof (x) = 0

A: We know that, for a standard equation of quadratic is given as  ax2+bx+c=0          ⋯⋯1 The…

Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

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Q: Find the general solution of a = y+2x. O a. y = -z(Inz +c) O b.y = a (2ina +e) O c.y = a(2ina +c) O…

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Q: 4. (D2 + 2D + 1Jy = 6

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Q: 9] Which of the ordered pair is a solution of 2x - 3y < 6? (3, 0) (1, 2) (5, 1) (7, 2)

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Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: Solve (D+2)x+ (D+6)=0 (2D+3)x+ (3D+8)=0 Ye=C₂X- (C₂/2X) Option 1 X(t)=-2d; e5d2e-lt Option 2 X(t)=…

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Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

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Q: Is (1, 19) a solution to ys7x-13 y> 3x+ 6

A: Consider the following equations: y≤7x-13y-7x≤-13                                ...... 1…

Q: the set of solutions of X2-X-6%3D0 is

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Q: Q1: Find the values for (X, Y, Z) for the following equations : X+ 4Y – Z = -5 - (1) 3X + 3Y – 18Z =…

A: The system of equation is ,    x + 4y - z = -5 .........(1)                                    3x +…

Q: Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: Solution:-

Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: (3) J -x² + 4x 2 x³ + 4x² + 4x + 3 dx

A:

Q: If h(x) %3D х — 8, m(x) %3D 2х + 9 and p(x) %3D х2 — 11х + 24, find: 1. (h + p)(x) 2. (р — m) (х) 3.…

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Q: Which of the following is the general solution of x 2 V) 2 -xy'-56x 2 =0? O a.…

A: We have to solve given problem: Note: given differential equations is wrong. According to options…

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: The line of intersection of II : 4x – 3y + z – 2 = 0 and - Пу : 2а + 5у — 32 + 4 — 0 is z – 2 %3D -1…

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Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

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Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: What is the solution of the y'''-(y'')3=0 You can find given options at the attachment. Thanks for…

A: Given y'''-(y")3 =0  The given 3rd order nonlinear ordinary differential equation.

Q: (i) Y = ax + b

A:

Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.