Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b. y³ x4 3 4 O C. y³ 3 4 O d. y³ 3 + - - 4 = k - k = - - k

Q: Eliminate all arbitrary constants in the following equations

A: Consider the given equation Ax2+Bx+Cy2-Dy=0 where A, B, C, D are arbitrary constants. Since there…

Q: 2x – y + 2z = 3 x + 3y – z = 1 3x + 2y + z = 4 Solve to find the value of the variables

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Q: find the components of −→P Q. P = (1, −4), Q = (3, 5)

A: Given two points P(x1,y1) and Q (x2,y2) their difference                   PQ → =…

Q: 5x+y35x+y3 for x=4x=4 and y=1y=1

A: Consider the given expression (P) and substitute the values of x and y.Substitute 4 for x and 1 for…

Q: a. Show that If 1 iv3 z = 2 2 Then z7 = z. b. Evaluate all the roots of the Equation: z* + 16 = 0

A: We will solve both the parts only using some basic knowledge of complex numbers and their…

Q: Select ALL of the solutions: -8r (3z - 5) (r + 25) (r² – 12) = 0 Ox= 8 O x = 3/5 O x = 5i O x = -8 O…

A: We need to evaluate the solution of the following equation : -8x3x-5x2+25x2-12 = 0

Q: x² +2x+3, x² – x– 12 What value is a discontinuity of Ox= -1 Ox= -2 Ox=-3 Ox = -4

A: The given function is fx=x2+2x+3x2-x-12 It is known that, a point of discontinuity for a rational…

Q: Find the value of (1+ i)" + (1 – i)", V n E N

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -32 +42e-2t NOTE: Write arbitrary constants as c₁,…

A: Linear differential equation  where  are functions of x or constants.Then Integrating factor (I.F.)=…

Q: Find the solution for an = 6a-1-8an-2 for n>2 and ao = 4, aj = 10.

A: Given recurrence relation is an=6an-1-8an-2, n≥2 and a0=4, a1=10. Let an=xn be a solution of above…

Q: Which equation represents OB? ty 2 B -2 2 -2 O A. (x - 2)2 + (y – 1)² = 9 O B. (x+ 2)2 + (y + 1)2 =…

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Q: ) Find the points of intersection between −4x − 8y = 2 and 2x = 8 − 4y. b) Find the points of…

A: Intersection of two lines

Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -Y2+33e-2t

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Q: Eliminate the arbitrary constant C, and C2 of the equation: y= C;e" + Czeo O 2y" - – 6 – 0 O N – 2y…

A: Please check the options. Note: Given options does not contain correct answer. Given y=C1e2x+C2e3x…

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

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

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 inditial equation for xヴ X 9+2Xy+3yso

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Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: x + 2y +4z - 5t 3x - y + 5z + 2t 5x - 4y + 6z+9t 3 = 4 = 2

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Q: If m 23 = (2x + 30)°, and m 26 = (3x + 20)°, what is the value of x? %3D 3. О20 O 30 О10 O 50

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Q: Solve for B: 7х — 3 A + В x (х — 1) - O 3 O-3 O 4 O -4

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Q: If Ax) = (x – 5)* thenf(x) equals A x-5e х — 10е 2r D 2r + 25 E 2х — 10е

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Q: Find the DE of the following solution: y = (c1 + c2x)e2* + (c3 + C4x)e¬*

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Q: Use elimination to solve for x and y: 2x- y 18 -2x-9y 2

A: The given system of equation is: 2x-y=18                  .... (1)-2x-9y=2              .... (2)

Q: Which of the following is not an equivalent equation to 3x - 4y + 1 = 0? A B 4y-3x-1=0 C y= 3 1 4…

A: Let's find not an equivalent equation to 3x-4y+1=0.

Q: (03 • 20 +D• 2) y =0

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Q: Find x and y in terms of a and b. ax + by = - 5 bx + ay = - 5 %3D

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Q: Find the solution of the following equations using Inverse Method. 3 2 105 X₂ 104 2 -3 103 X₂ = 98 1…

A: Given the system is 321052-3103113 x1x2x3 = 104983 Let  A=321052-3103113,   X=x1x2x3,   B=104983

Q: match each equation in the first column with its solution in the second column. Items in the second…

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Q: Solve X + Z + 2W Z= y – 2z - x + 2y - z 2x + y + 3z- || 2w = 6 -3 -2 0

A: We  can solve the given system of equation by using the elimination method.

Q: Which equation represents OB? 2 -2 B

A: Centre is at (3,-3)  Radius is 2 units

Q: -4x -4y -3z 19 5x +2y +2z -15 3x +5y -4z 17 = x = y = z =

A: