Find for the equation, 9x? + 5x?yt = 2y +2 O 9z+5zy 1-10z y 18z 2+20y 47 2-20y O 18z+10zy 20z y+2

Q: For which value of m , the equation x² + 2mxy+ y² + 2x + 4y+ 1 = 0 will represent a pair of straight…

A: The given equation is,  x2+2mxy+y2+2x+4y+1=0

Q: Which equation is equivalent to 8x + 2y= 10? %3D Oy=-+5 Oy= x+5 O y = -4x + 5 y = = 4x + 5

A: Given equation: 8x+2y=10

Q: Find y': 5a? – 2x?y? + 4y3 – 7 = 0. |

A: Explanation: Given that,  5x2-2x2y2+4y3-7=0

Q: Solve the IVP. y/" – y – 12y = 0, y(0) = 3, y'(0) =

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y?(2x² + y²) = c O 2y(2x² + y²) = c

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Q: (a) Find the general solution of the following equation: y(3) – 4y" + 13y' = 30e + 26.

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Q: Find the general solution of the equation x* (4 + 3z?) z, + y* (4 +3z²)z, = (x' + y')(4+ z³) z.

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Q: . Find the solution of dydt = 2y(3 − y), y(0) = 10.

A: dydt=2y3-y On simplification, we get ⇒dyy3-y=2 dt⇒dy3y-y2=2 dt⇒dy-y2-3y=2 dt⇒dyy2-3y+94-94=-2…

Q: Solve the given pair of equations  2x-y=5 3x+2y=11

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Q: Which of the following equations has both 2 and -4 as solutions? O a.x2+6x + 8 = 0 O b. x2-2x-8 = 0…

A: If b  is a solution of the polynomial p(x) then (x-b) is a factor of p(x).

Q: Solve the following IVP: y'+ 3y = 2xe^(−2x) , y(0) = 3

A: See the attachment

Q: Use an appropriate substitution to solve the equation 7 y y = x20 and find the solution that…

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Q: :Q: solve the following equations 2X-3Y+Z=-1 X+4Y+5Z=25 3x-4y+Z=2 x=8.7 y= 5.7 z= -1.3

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Q: Solve the IVP 2y"+5y'-3y=0 y(0)=-5 y'(0)=29 y(x)=?

A: The given differential equation is                                                   2y''+5y'-3y=0…

Q: Find the general solution to the equation y(5) – 4y(4) + 4y(3) = 0.

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Q: Q4:-Solve the following equations (choose tow only):- 1: x²y= - 2xy + 2y = 2x³e* 2: 2x?y= + 4xy + 3y…

A: Solution :- 1

Q: Solve the equations below for x, if pos 3x-1 a. %3D 4. 11 b. 6 – 5(2x – 3) = 4x + 7 %3D 3x c. + 2 =…

A: The general rules for solving equations for x are: i) simplification of each sides of the equation…

Q: The cost in dollars,of x packages of dog food is given by y = 3x. Based on the equation, which of…

A: Given equation is y=3x, where y is the cost in dollars and x is the number of packages. So, the cos…

Q: Find the solution of y" – 2y' + y = 36 et with y(0) 6 and y' (0) = 5.

A: Given

Q: - Solve the equation z = x² + xy² when x = = 0, zz = y³ and when x = 2, z = y.

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Q: Solve the difference equation yk+1=3yk Yo=2. O None of the above O Yx=3*2k O yx-3k O Yx=2*3k O Y=2k

A: here option (A) is true non of these is true because

Q: Solve the IVP y" – 8y' + 25y = 0; y(0) = 2, y'(0) = 2

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Q: . Solve for and simplify the result. dy dr y = (3x-2)5 (2²+5)6

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Q: Obtain the particular solution of the equation: 2ydx = 3xdy; when x = -2 and y = 1 ° y = (2x (2x)=3/…

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Q: Find a particular solution to y" + 7y + 10y = -4te (-2/27 te (5t)+(5/243je(5t)

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Q: (a) Find the general solution of the following equation: y(3) + 5y" + 3y' – 9y = -27x +9+32e". %3D

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Q: (a) Find the general solution of the following equation: y(3) – 3y' + 2y = = -2x + 6e" + 3.

A: We have to solve

Q: Find the solution of the following y' +3y' + 2.25y = 9r³ + 64, y(0) =1, y'(0) = 31.5

A: Given DE is y”+3y’+2.25y=9t^3+64 given conditions are y(0)=0, y’(0)=31.5 find the solution of the DE…

Q: Find the general solution of the equation: (x – 1)? y' + 8 (x – 1) y' + 12y = 0. (x > 1) |

A: Let the solution of the given differential equation is of the form y=x-1r. Differentiate y=x-1r with…

Q: Find the solution set of each equation x + 2y + 3z = 4

A: The given equation is:       x + 2y+3z = 4        … (1) Since in the given equation contains three…

Q: Given the equation y² + z² – æy – 3 = 0, determine y'. 2xy-y 22-2y 2-y z-2y

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Q: Which table shows solutions to 2x + 3y = 9? A -3 3 6. y 3 1 -1 -3 3. y 3 1 -1 C -3 y 3 -1 -3 5 3

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Q: Find the solution set of 2x + 6y - 4z 12.

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Q: Solve by substitution  9x-2y=23 5x+y =-2

A: Given equaitons; 9x-2y=23 5x+y =-2 The substitution method is the algebraic method to solve…

Q: The solution of yy +36x = 0 is :Select one y? + 36x = c.a = c .a 36y? + x2 = c.b y? + 36x2 = c.c 36y…

A: On simplification, we get

Q: 3x + 2y = 8 2r + 3y = -12 %3D

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Q: Solve the following IVP 3y"-3y'+2y=0, y(0)=2, y'(0)=0

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Q: Find the value of z that satisfies the equation 3z 4 z +2 z = -8 z = -2 z = 8/7 z= 8

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: 4. Solve each equation for y a) 5x + 2y = 1 b) 4x – 3y = – 2 c) 3x + 2y – 6 = 0 d) — 2х — бу %3 0

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Q: y(1) + 2y"" + y"+ 2y' = xe-2x

A: Here we use one method of linear differential equations with constant coefficients. i.e. The…

Q: Find the solution to 2y'' + y' − 3y = 0, y(0) = a, y'(0) = b.

A: Differential equation

Q: Solve the following equations:* y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: answer is in next step

Q: x2 - 4y = 8e2x - 12

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Q: following equations 3X – 6Y = 9 9X + 12Y = -3

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Q: Determine the solution of 4y" – 4y' + y = 0; y(0) = –2, y'(0) = 2

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Q: Find the solution. y-y = -xyl/2 y =(x+2+ce½,? B y = (x+2-ce/½,? © y = (3r - 2+ ce/½,? = (3x –…

A: The given differential equation is ,       y' - y =  - x y(1/2)  Bernoulli equations :  An equation…

Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

A: To Find:  Solution of given differential equation  y' = 6 xy - 2x , y ( 0 ) = 12  ( finding the…

Q: Solve for x and y. 13. AABC = ADEF 17y-8 (11x- 4) F. 23 117 12 + 13y y=

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