B. y = Ce2x_ C. y = c,e2x (5D3 + 3D2 – 32D + 12)y = 0 A. y = c1e-2x + c2e¬0.4x + c3e3x + Cze-0.4x + Cze3* B. y = c¡e2x + c2e0.2x + C3e¬3x + Cze-3x C. y = c1e2* + c2e0.4% + C3e¬3* + Cze" D. y = ce-2x + c2e¬0.2x + C3e3x -3x + Cze + Cze3¤

Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

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Q: dy y - 5a- da 3x2 + 2x = 0 %3D 2y = 5x + 6z² - 4x In a + cr 5y = 2a + 4x-6z In a+ ca %3D Option 1 O…

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Q: 9. If mZW = (5x + 1)' and m2Y = (13x - 37)', find mLY. %3D %3D X.

A: Given : m∠W = 5x+1°m∠Y = 13x-37°

Q: Quèstion 17 Solve x33) - 6x²y`+19xy` -27y=D0 | Ocgedx + Czx?nx + c3x (inx)? O Gx²+ Czx?inx +…

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Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=D0, x+2y-3z+5=D0.

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Q: Determine the intersection of 3x – 4y – 5z = 0 with [x, y, z] = [3, 1, 1] + t [2, -1, 2].

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Q: Exercise 1 y" + y/ – 6y = 0, y(0) = 10, y'(0) = 0 %3D

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Q: 2 Consider the hypocycloid with equation y 3 +x3 =73 2 2

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Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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Q: (Dª + D² + 10D)y= 0 , y(0) = 0, y'(0) = 6, y" (0) = 4, y"(0) = 4

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Q: For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

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Q: SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c…

A: We need to find the solution of this exact differential equation

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

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Q: Solve the equation 2x+y-z=1,x-y+z=2,5x+5y-4z=3 by Cramers rule

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Q: Find the line of intersection between the two planes x+2y-z = 5 and x-4y+z=3

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Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

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A: If the roots m1,m2,...,mn of the Auxiliary equations are distinct and real then the complete…

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Q: (i) 6y" – 5y – y = 0, y(0) = 2, y'(0) = 1. %3D %3D -

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: For planes 2x + y - z = 2 and 2x + 3y + 5z = 4

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Q: The point on the plane 2x+y+z=1 that is closest to the point (1, 2, 3) is (a, b, c). Then a+b-2c= O…

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Q: 2,t-3P dt, then %3D 12

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Q: Find the general solution to(D5 - 2D³ – 2D2 – 3D - 2)y=0 O y= e-X(C1 + C2x)+ C3e2× + C4cosx+ C5sinx…

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

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Q: Solve using Cramer's Rule: (2x z = 14 3x - y + 5z = 0 4x +2y + 3z = -2

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Q: Exercise (6): cx=1 cy=2 cz=9/2 ha dzdydx

A: To evaluate the given triple integral

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A: We will solve the problem

Q: Find the point on the sphere x2 + y2 + z2 = 4 farthest from the point (1, -1, 1).

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Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: 2y + z = 1 29. у + 2z 3D 5 y (x + y + 3z = 8

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Q: The surface 2x2 -2y² – 2z² =1 is identified as

A: The given surface is qudratic surface. Different qudratic surfaces 1)Ellipsoid 2)Hyperboloid in one…

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Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

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Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

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Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: Find the equation of the line of intersection of the planes 2x+y-2z = 1 and x+2y-z = 4.

A: Planes are 3-dimensional spaces, that contains infinite lines. When two non-parallel planes…

Q: (): Suppose y = cjex + czetx is the general solution to y = Ay. What is A %3D %3D ? We don't have…

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Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: For planes 2x + y - z = 2 and 2x + 3y + 5z = 4.

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Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: ind the equation of the parabora y= ax^2 +bx +c that passes through points (0,3) (1,-4) (-1,4)

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Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

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Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

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