Find the point of intersection of the pair of lines if it exists. (If an answer does not exist, enter DNE.) y = 8/9 x + 1 −8x + 9y = 72 (x, y) =

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: Find the number of non negative solutions to x+y+z= 21. With the conditions that x < 3, y ≥ 2, z ≥…

A: Given that x+y+z=21 with the conditions x&lt;3, y≥2, z≥4

Q: and the net is decribed by the equation y = V1 – x2 – z2, y 2 0,

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Find the particular solution of (y + Vx² + y²)dx – xdy; when x = v3, y = 1

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Q: Solve for X,Y and Z:  3x + y − z = 11x + 3y = z + 13x + y − 3z = 11

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy + y?

A: Idea: after separating x,dx and y, dy terms together. we take integration on both sides . after…

Q: () = (5y – 2x) y' – 2y = 0; y %3D | 4 II

A: Exact differential equations

Q: Solve the IVP: y" + 4y' = x, y" (0) = 1, y'(0) = y(0) = 0. %3|

A: The solution is given as

Q: Use separation of variables to find an explicit solution. xyy' = 2xy² + y² %3D

A: Follow the steps below to solve a differential equation by the variable separation method. First,…

Q: Solve for x, y and find mZF. (5y) 70 (7x - 5) 45

A: Consider the provided figure, Find the value of x and y and m∠F. From the graph EY is transversal…

Q: Solve the DE y'=(x+y+2)^2, y(0)=2 by setting u=x+y+2.

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Q: Use variation of parameters to find the particular solution to y'' - 7y' +12y = 3e³t Y(t)= Preview

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Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

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Q: ye2xdx ye2x. (4 + e2x)dy

A: The given equation is ye2xdx=4+e2xdy The given differential equation can be solved by converting it…

Q: find the general solution of (y^3 + yz^2 -z)dy + (z^3 + y^2 z - y) dz = 0

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Q: Find the solution of 4x²y" – 6x²y' + y = 0, x > 0 %3D of the form Y1 = r"(1+ c,x + czx² + czx³ + • ·…

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Q: Use undetermined coefficients to find the particular solution to y'' + 3y' + 2y = 4e - 2t Y(t) =

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Q: Determine whether y(x) = 2e-* + xe-* is a solution of y" + 2y' + y = 0. Is y(x) = 1 a solution of y"…

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Q: Solve the following equation by using separation variable method: y(x,0)=10 t> 0 y, (0,1) = y,(7,t)=…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: Given that d²y 2. +y =0. dx2 Show that y = x is not Solution a

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Q: Use variation of parameters to find the particular solution to 3t y'' + 5y + 4y = 2e Y(t)=| Preview

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Q: Obtain the genral solution. (D3 + 5D2 + 7D+ 3)y=0

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Q: (D² + D – 1)²y = 0 ,when x= y = 0 , y' = y'"'' = 1 , y" = -1 %3| %3|

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Q: Let y(x) be the solution for the DE: y = (x+y+ 2)2 If y(0) = -2, then find y() %3D

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Q: Use undetermined coefficients to find the particular solution to y'' + 2y' – 4y = 2t + 2 Yp(t) =

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Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y…

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Find the solution of y" – by' + 9y = 16 et with y(0) = 2 and y' (0) = 1.

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Q: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a have a…

A: Given: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a…

Q: 2y Solve the I.V.P y'+ =1-, y(0) = yo, then find the value 2 3 of for which the solution touches ,…

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Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: a) (x² + y² + z²)² = xyz %3D

A: see the attachments below

Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: Determine the solution to the I.V.P. y"+7y'+12y=2le",y(0)=,,y'(0)=-10 %3D vious Next

A: Please find attachment for the details solution

Q: Use the separation of variables method to solve 4UTr H Utt: 00 uz (0, t) = uz (2, t) = 0 u(x,0) = x,…

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Q: y" + 2lf + 2y = 0, y(0) = 1, f(0) = 1 he solution as a linear combination of y, and y2-

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Q: By making the change of variables u = 2, v = x, find the general solution of yfyy +fyx + fy = 1.

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Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution :-

Q: Solve for the particular solution: dy = y + Vr2 – y?, y(2) = 0 %3D - da

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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Q: Obtain the general solution unless otherwise instructed a.) (9D4 + 6D3 + D2)y = 0 b.) (4D4 − 45D2…

A: (a) Consider the given equation. 9D4+6D3+D2y=0 Convert the equation into the characteristic equation…

Q: Solve the second order equation (d2y/dx2) = -my  with the boundary conditions y(0) = y(L) = 0, x⋲[0,…

A: Given the second order equation is d2ydx2=-my

Q: (D³ + 2D² − 5D − 8)y = 0, when x = 0, y = 0, y' = 0, y = 2 - -

A: Given  (D3+2D2-5D-8)y=0 and when x=0, y=0, y'=0, y''=2. The formula for differentiation is…

Q: The solution of the IVP y"-3y'-4y 0, y(0)3D0, y'(0)=5 is: Select one: a. V= - e 4t + e b. y= e 41 -…

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Q: If y(t) is the solution of - 2y = 4, y(0) =1, then y(t)= %3D %3D

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Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: Show that y = c1ex + c2e-x + c e + 3 is a solution of y ||| -2y | | - and | + 2y = 6 (justify).

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Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.