a. (x² – 4x – 4)(y² + 1)dx + 2y(x³ – 2x² + 4x – 8)dy = 0;

Q: (x²+2x +y) dx +(3x3y-x}dy=o

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Q: 8. (D2 – 10D + 34)y = -cos3x

A: Answer and explanation is given below

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

A:

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: Find d2y/dx2 implicitly in terms of x and y.

A: we have;  xy-1=2x+y2 ................................(1) differential equation with respect to x

Q: (2x – 5 y dx + (- 5.x + 3y² kdy = 0||

A:

Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem

Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: 2(2x2+y2)dx-xydy=0

A:

Q: (x-y-2)dk t3x ty-1)dy=0

A:

Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: (교2 + y2 - 5)dz = (y + zy)dy,

A:

Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: (b) y = u4 and u = 9x2 – x + 7 dy du 4u³ ,3 du 18x – 1 dx dy dx &x(9x² – x + 7)³ × II

A:

Q: d'y 4x dx2 dy +6- + у %3D0 dx

A:

Q: d3y/dx3 -dy/dx=5sinx+10cosx+120e3x Diferansiyel denklemini çözünüz

A: Find complementary function and particular solution for the given differential equation

Q: y'(t) = In(y- 3) %3D

A:

Q: 4. (D² – 10D + 34)y = -cos3x

A: Using method of Linear Differential Equations with constant coefficients.

Q: - 15x + 14x +2 dy DA. dx - 30 – 2x = dy O B. dx 15x + 14 +2 - dy D C. = - 30x - 2x2

A: we have to find the derivative of y=-15x3+14x+2x

Q: Find d2y/dx2 implicitly in terms of x and y.

A: To findd2ydx2

Q: 4. y(4x + y)dc - 2(x2-y)dy = 0

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: xe2v dy dx = 4-y 0. lo12-1) (02-1) -1) o 6-1)

A:

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: (x² + y²)dy dx 7.

A: Given  ∫-22∫04-x2(x2+y2) dydx

Q: If f(x)=3x^2 + 2y^2 =16 what is dy/dx?

A: Please see the answer below.

Q: Find the General and Particular solution of = 3y ; y= 3,when x = dx

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

A:

Q: B dy x/1-y2 dx 1+x2 II

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Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: find d^2y/dx^2 for y^2 + 2y=2x+1

A: Consider the function,

Q: 4- (x2 + y2 + x)dx + xydy = 0

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Q: If feF - dr = Sc(4x + 4y²) dx + (x²y) dy, what is.

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Q: G3-y²sinx+303")dx+ (3xy² + 2ycosx + )dy = 0

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.

Q: 2 y (y² - 3x² ) dx + x (3y²-x²) dy = 0

A:

Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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Q: 2(2x² + y²) dx - xydy = 0

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Q: ( 3x'y + ev )dx + ( x³ + xe - 2y)dy=D0

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Q: y" – 10y' + 34y = 3x2 + x – 1 || | (D² – 10D + 34)y = -cos3x

A: 1-D-1 = 1+D+D2+D3+.... Note : As per our Guidelines, we are supposed to answer first question.

Q: 4- (x2 +y2 + x)dx + xydy 0

A: Differential equation

Q: d. (2xy*e» + 2xy³ + y)dx + (x²y*e» – x²y² – 3x)dy = 0

A:

Q: 3 1 (x + 2y)dydx -1 a) 5 b)7 O d)-:

A: Please check step 2 for solution.

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y

Q: 2 ³₁²₁²[z³(x + y)³] dz dy dx -4 J

A: In this question we have to solve the given triple integral.

Q: (4x³y – 15x² – y )dx +(x* +3y² – x)dy=0 -

A:

Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

A: