elimination of first degree variable: 2x/3 - y/2 = 1

Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: SOLVE USING INTEGRATING FACTOR (2y² – 3x²) d x + (2x² – x y) dy = 0; y (1) = 1 9.

A: Let's find.

Q: ex- ex - y%3D ex +e-x

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Q: 8 3x -dx 3 3 V 2 – x 2 -

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Q: Find y': y=- Vx* + 4

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Q: 4. Šolve Člairaut equation y = xy' – 2In(y' +1)

A: The given clairuat equation y=xy'-2lny'+1 s the first order nonlinear ordinary differential…

Q: (ve-2x + y²) dx - e-2x dy = 0 6. (ye

A: We need to identify the given first order differential equation as homogeneous, Bernoulli, linear…

Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

Q: Solve simultaneous equation dx/dt=5x-9y , dy/dt=2x-y , x=3 , y=2

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Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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Q: 2 sec2( sec-1x)dx xVx² -1 3. 3.

A: Here  we evaluate    ∫32 sec2sec-1xxx2-1  dx

Q: 1) y=1 + Vx- 1

A: S.No x y=1+x-13 1 9 3 2 8 2.91 3 7 2.81 4 6 2.70 5 5 2.58 6 4…

Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: Solve using separation of variables:   y'-xy+y=2y

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Q: S dx x - 4 x2+2x-15

A: Let's find.

Q: 2) 3. | 24 ly-11 dy

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Q: 2x X 5) i dydx y 1 x

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Q: x = 2 + 3t, y = cosh 3t , 0 <y<1

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Q: Yuz - xUy = 0, %3D

A: Find out for each of the given initial conditions whether the problem is solvable or not. Then find…

Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: [₂ x³ √√x² +1 3

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Q: (x+ 4)² + (y – 4)² = 4 Center Radius

A: Compare given equation with (x-h)2 + (y-k)2 = r2

Q: 1.y" + у %3D Зе2x

A: We have to solve the characteristic equation first.

Q: 2х+2 dx. 5. J2-2x+1 х2-2х+1

A: Given that a integration and we solve this integration by using general formulas of integration. We…

Q: 6. 3(у + 1) dx %3D 2х dy

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Q: y = sec* ( Vsin(2t)) sec³ 3.

A: The objective is to find the derivative.

Q: eral solution. - 1) dx + (3x – 2y + 3) dy

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Q: dx1 -2x1 – 2x2 X(0) = dt dx2 2x1 – 6x2 %3D - dt

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Q: 39) (x-1)+(y-3)² = 4 A) Center: (-3, 1) Radius: 2 B) Center: (2, -3) Radius: 4 C) Center: (1, 3)…

A: The general equation of a circle is x-h2+y-k2=r2, where r=radius of the circle h=x coordinate of the…

Q: y 3D 1 y = secxtanx; y

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Q: Solve 1- (x³–3x²y)dx – (x³-³)dy = 0 %3D

A: To find: The solution of differential equation x3-3x2ydx-x3-y3dy=0. Formula used: Integration…

Q: ()* 3 -2 dx 7. dt 4

A: Solution 7: Given linear system is dxdt=3-24-1x Let A=3-24-1 Let the eigen value be λ So…

Q: 2x+1 dx Vx+4

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Q: (2х + Зу — 5)dx+ (3х — у — 2)dy %3D0

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Q: use Separation of Variables to find the general solution. y' = x sec y

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Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Salve 6y"o)-5y'Lx)+Yx)= esinx+ cos2X with

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Q: 2 | Vxe-*dx хе ах

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Q: SVx+3(x+ 1)dx r64 dt ap 2 +-2^)

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Q: Vex y y 3D

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Q: (х+2у -1) dx - (2x+4 у-3) dy%3D0

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Q: 3 dx 4. = 2/3 V3-x 0,

A: Solve the problem by substitution. Substitute 3-x=t

Q: Solve for y when x=o degrees: y=2sinx

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Q: First order linear of 2x3y'=y(y2+3x2)

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Q: 5) dx (3x+2y-5) = 0 (2x+3y-5)

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Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: 2x +1 -dx J - 3x +2` 4. х — Зх

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Q: 15. 1 dx V5x+4

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