Replace the Cartesian equation with equivalentpolar equations. x2/9 + y2/4 = 1

Q: хdу + (1 — 3х)ydx %3D Зxdx

A: The given differential equation is: xdy+1-3xydx=3xdx Rearranging this given equation: dydx+1x-3y=3…

Q: Which of the following equations corresponds to the diagram below?

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Q: Find the general solution of the following equations?

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Q: Eliminate the parameter t to find a Cartesian equation for: T = t and y = 4+ 2t. and express your…

A: Given that         x=t2  and  y=4+2t Here we have to eliminate the parameter t to find a Cartesian…

Q: Solve of the following equation y' +y x'y? Given by

A: Given differential equation y'+4xy=x3y2. The objective is to solve the differential equation.

Q: Find all the solutions of the Diophantine equation 30x + 12y = 6. %3D

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Q: the solution Ilfferential equations. y4

A: In this question, we have to find the correct differential equation for the given graph and the…

Q: Solve the equation using Lagrange's method: 2x² –15x+18=0 |

A: Given the quadratic eequation:      2x2-15x+18=0 Solve it using Lagrange's method.

Q: (x5 – y²) dx + 2xy dy = 0 %3D

A: The given differential equation is x5-y2dx+2xydy=0

Q: Find all solutions of the equation z4 = 1+i.

A: Given equation z⁴=1+i

Q: dp. +3p=2 do

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Q: The roots of the equation x + x(p – q) – (q – r)(p – q) = 0 are ?

A: In this question we have to find roots of the equation.

Q: Show that the equation 24 = (-5 – i/T) z+(60 – 80 i) has no solutions in the closed disc z| < 3.

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Q: solve this linear equation using gauss seidel x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

A: The given equations are; x+ y−z=02 x−3 y+z=12 x+ y+2 z=7

Q: Replace the Cartesian equation with equivalentpolar equations. x = 7

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Q: Find all the solutions of the Diophantine equation 6x + 9y = 21 %3D

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Q: Replace the Cartesian equation with equivalentpolar equations. x2 + xy + y2 = 1

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Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a?b" + 3ab' – 15b = 0 where, b(1) = 0…

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Q: Eliminate the parameter t to find a Cartesian equation for: x = t2 y = 7 + 5t The resulting equation…

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Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

Q: Solve the following Clairaut equation   y=xy'+(y')^2

A: Firstly we will differentiate this equation to get simpler differential equation

Q: Eliminate the parameter t to find a Cartesian equation in the form Y f(x) for: S 2(t) l y(t) - 2 +…

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Q: FIND VALUES (IF ANY) OF THE UNKNOWNS X AND Y WHICH SATIFY THE FOLLOWING MATRIC EQUATION - 4 – 3] y…

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Q: 2x³y' = y(y2 + 3x²)

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Q: Which of the following equations crosses the origin?

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Q: Find all the solutions of the Diophantine equation 25x + 55y 50 %3D

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Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

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Q: 4x1 + X3 7 7x, + 2x, = -2 + 4x3 = 11 %3D 3x1

A: First we solve this by Gauss siedal method and then solve by Gauss Jacobi method.

Q: Eliminate the parameter t to find a Cartesian equation in the form z= f(y) for: 3 ly(t) = 2 + 5t The…

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Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that…

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Q: 2. Clabsify the follouing equations () 2 au + 4 + 3au + 4 du + 424- hexe えレーム it2 xe. me + t (vi) 2…

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Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

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Q: Eliminate the parameter t to find a Cartesian equation in the form æ = f(y) for: x(t) = 3t2 l y(t) =…

A: To eliminate the parameter t to find a cartesian equation in the form x=f(y).

Q: Eliminate the parameter t to find a Cartesian equation in the form a f(y) for: Sa(t) = - 4t2 ly(t) =…

A: To eliminate the parameter t

Q: If x, y, z E N, solve the equation: 2 3 = 1 1 || | +

A: 1x+2y-3z=1, where x, y, z∈ℕ.

Q: Replace the Cartesian equation with equivalentpolar equations. y = 1

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Q: Find all the solutions of the Diophantine equation 25x + 55y = 50 %3D

A: Given equation is                                                          25x+55y=50 it can be…

Q: when the parameter is eliminated from the equations x=t/2, y=t^3-4x+1 the resulting equation

A: The parametric equations are the group of equations with one or more variables having one common…

Q: Determine which equations are linear equations in the variables x, y, and z. If any equation is not…

A: The equation of the form ax+by+cz=r where a,b,c,r E R and non zero and x, y , z are the variable is…

Q: Solve the equation z +j2z+(1- j)= 0. Express the answer in Cartesian forms.

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Q: dy x+y = -x3

A: this is linear differential equation

Q: Can you explain to me how to solve this  Find the unknown coordinate so that each ordered pair is a…

A: An algebraic equation is an equation with at least one variable .The solution of an algebraic…

Q: y = xy' +y

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Q: 4. Solve the equation z' - V2(4– 4i) = 0, giving your answers in Cartesian form.

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Q: Consider the equation: *(t) = [ - - Find the solution of the equation x(t).

A: Given: The equation is x.(t)=0-11-2x(t)+01u(t).

Q: = 2 - 2 + x3 = -2 3x, = -6

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Q: Given that a special solution shown next to the Riccati equations below is known, the general find…

A: It is known that the Riccati equation is dydx=Axy2+Bxy+Cx. The given Riccati equation is…

Q: Eliminate the parameter t to find a Cartesian equation for 11 t -19 - 2t The Cartesian equation has…

A: A detailed solution is given below.

Q: Replace the Cartesian equation with equivalentpolar equations. (x - 5)2 + y2 = 25

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