Coefficient Linear in Two Variables 2. (x-3y-7)kdx – (2x – 4y-8)dy=0

Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0

A: We can solve the given differential equation.

Q: F = (x + y2)i + 5xуј + z²k A. 3yk В. Зуј с. Зуі D. 3zj E. 3zk F. 3xk G. 3хуј H. None of the above…

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Q: Q1) L-1 a) cosht -1 b) 1 - cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of y"" + 2y"…

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Q: The figure shows the graph of two perpendicular lines.Which of the following pairs of equations…

A: GRAPH

Q: 3-) x (x+y) Bx +(x-y)Bay-y(xty)2s +(y-x) (2x+2y)= 16x (x+y) +(y-x) (2x+2y)e **) equation, step…

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Q: 4. (x² + b²)dy = 2x[(x² + b²)² + 3y]dx; y(b) = 4b*; b is a constant # 0 %3D

A: Linear differential equation

Q: Coefficients Linear In Two Variables Obtain the particular solution when x=3 and y=7: (x+y-4)dx -…

A: we have to solve

Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: Integrating Factor by Inspection b)y²(xdx + ydy) + (x² + y²)(ydx – xdy) = 0

A:

Q: Variable Separable 2:) x' yy' =eY Final answer should be in terms of y

A: Using variable separable method,

Q: 1. (D²³+2D² - 5D (D³ + 2D² - 5D - 6)y=0; y = 0, Dy = 0, D²y = 1, when x = 0.

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Q: h 2, k -1 and r 5 %3D (x - h)2 + (y- k)2 = r2 %3D %3D wwww x2 + y2 +Dx +Ey + F 0

A: Given:- h=2, k=-1 and r = 5 To find:- Equations of circle in form (x-h)2+(y-k)2 = r2  x2 +y2…

Q: 3 -3 f(z) dz = 0 and 7 3 f(2) dz= 7. Find [f(x) dx. -3 7

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Q: indeterminate coefficient method x^2y´´+2xy´-2y=x^2      y(1)=0      y´(1)=1/2

A: We have to find the solution for the differential equation…

Q: xyy' + y² – 2x²y5 = 0,x = 1, y = 1 0, х — 1,у 3D 1 | Express your solution in general form where the…

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Q: (3x2 - 2ху+ 3у?)аx%3D 4ху dy O (y- x)³(v+3x) = Cx³ O (v +3x)°(y- x)= Cx³ O (y-3x)°ly+ x) = Cx² O…

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Q: IV. Exact equations dy 1. x*-2y-3xy² (Ans: 2xy + +글x2y2 + 6y -=C) dx 2x+y²+3x²y+6 3

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Q: (z-1)y"+3y-0; y(0)-2,y (0) =3 hot ith A y(x)- 2 1+ 1+3+ - B. y(x) - 2[1++ -3 (a ++ 4 D. u(a)- 21++…

A: Given differential equation is: (x-1)y''+3y=0, y(0)=2,y'(0)=3 Here P0(x)=x-1⇒P0(0)=0-1=-1≠0 Let the…

Q: Variable Separable: Obtain the general solution: 1. (1 – x)y' = y2 2. xy³dx + e**dy = 0 3. тydx %3D…

A: 1) Given differential equation is: 1-xdydx=y2dyy2=dx(1-x) Integrate on both sides: ∫dyy2=∫dx(1-x)

Q: w(z^2+w^2)dz-z(z^2-w^2)dw=0 find the general solution

A: I have solved the given differential equation by homogeneous differential equations method

Q: Coefficient Linear in Two Variables (x- 3y -7)dx -(2x-4y-8)dy =0

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Q: Solving by variation of parameters y" – 3y' – 4y = 5x we find that: u_1=xe^x-x and u_2=(-x)/4…

A: We have to solve given problem:

Q: Coefficients Linear in Two Variables Obtain the particular solution when x=3 and y=7: (x + y – 4)dx…

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Q: ++x* +3x +4x-x-2 Fx + G В Dx +E Given: + -+ %3D x +1 (x +1)* 3 x'(x+1) Find A ,B, C, D ,E, F, and G

A: Given x6+x5+3x4+4x3−x−2x3(x2+1)2=Ax+Bx2+Cx3+Dx+Ex2+1+Fx+G(x2+1)2

Q: (2g(x)-3, xsI x>1" "rx)dx = 18, then g(x)dx = Let f(x) - %3D A) 5. B) 6. C) 7. D) 8. E) 9. A) B) c)…

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Q: e2x-ydx + ey-2×dy = 0 %3D

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Q: (2x + 3y - 1)dx + (2x + 3y +2)dy =0 answer: 2x + 2y + C = -6ln (2x + 3y - 7) find the general…

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Q: Coefficients Linear in the Two variables: Solve the equation (x + 2y – 4) dx - (2x + y - 5) dy = 0 O…

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Q: x2 11.6.3. f(x,y) = xy\/1 - %3D a, b > 0. - a2 62

A: Given

Q: ydx + (x³y² + x³)dy = 0 'у?

A:

Q: (бх — 3у + 2)dx - (2х — у —1)dy %3D 0

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Q: y = -2x-22 tl X-2y-z+2 (37) Zニ X-y 2x +y +2z = I x+2y +z=2 2 -L

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Q: dy If = 3x² – 1 and if y= -1 when X=1 then y= dx (A x³ +1 B -x3 +x-1 © x3 – x+1 D x3 - x-1

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Q: rx²+x+1 -dx x-2 A -+ 3x + 7ln (x– 2) + C +x- 2ln (x- 2) +C -x- In (x-2) + C +3r -3 In (x – 2) + C

A: Let's find.

Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: 4x - 18 = 22 3(x-4) = -18 4x-1 = 2x+11 A = b* h for h V = 3k+ t for t %3D

A: We need to solve for x h and t from given equations

Q: 3. Find the value of y when x = 0. a) y= 3x - 1 b) y= -0.5x + 2 c) y= 2x = 3(0) – 1 = -1 =-O.5LO)+a=…

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Q: h = 0, k 0 and r 8 %3D %3D (x - h)2 + (y- k)2 = r2 x2 + y2 +Dx +Ey + F = 0 %3D

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Q: h = -3, k = -2 and r = 7 %3D (x - h)? + (y - k)? = r2 ww x2 + y2 +Dx +Ey + F =

A: We have to solve the equation

Q: g) t(t-5)². i) (x-1) (x-2)(x-3). h) x (x²-4)². j) (y-6) (y-4) (y + 1).

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Q: x 1] The value of y y² - xz 1 z² – xy 1 x² - yz

A: We have to expand the required determinant.

Q: he x+2y+3ln|x+y-2| =c " The general solution to the equatio (x+y+1)dx +(2x +2y-1)dy = 0 correct…

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Q: Coefficient Linear in Two Variables (x- 3y-7)dx-(2x-4y-8)dy = 0

A:

Q: y = f(x) X2 f(x) = (m - 1)x2 - 4x + m-2 X, = ? %3D A) 1 B) 2 C) 3 D) 4 E) 5 f(x) = mx2 - 4x - 3m %3D…

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Q: h34. Find the general solution of the FOLDE, (x + 3y)dx- xdy 0. a. y = -2x + Cx³ b. Сх3 3 2х + у c.…

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Q: 2. (9x-4y+4)dx=(2x−y+1)dy=0

A: Given

Q: d³r i: dt3 r"(0) = r'(0) = 0 and r(0) = -1. ' %3D sect

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 1 e*(6x-15x +9x') =x'e* D² -D+3 true Error

A: e-2x(6x-15x2+9x3) =(D2-D+3) x3e-2xRight Hand Side:(D2-D+3) x3e-2x =(D2x3e-2x) - D (x3e-2x) + 3x3e-2x…

Q: (*+2у-1)dr -(2r +у-5) dy — 0 %3D

A: