y= (2xy + 3x2)ē+ (x² – 2yz + 2y)ē, – (e² + y²)e,

Q: 9-x² - y² SS. 0 9-x² 0 √√x² + y² dz dy dx 2

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Q: dy y² tion + dx x² है || Y 8

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Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: ● √3x dy dx √x² + y² So So

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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: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: 1 В(т, п) ym-1(a – y)"-'dy. am+n-1

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Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

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

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Q: Sv-4 - y-3) dy

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Q: (16x y² exy + y sec² (xy) - 2x + 3y) + (16x² y e4xy + x sec² (xy) + 3x)y' = 5

A: Let us consider the equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution of the…

Q: Find the General and Particular solution of = 4y ; y= 3,when x = 0 dx

A: Given: dydx=4y

Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: 4. (D² – 10D + 34)y = -cos3x

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

Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

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Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: -2dх 38. y-2dx dy er e2x + 1' УО) %3D 1

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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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: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

Q: V16-y 1. 16 x2 x dx dy -

A: As per our guidline we cna solve maximum one question , you can re-post other question

Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: d²y 1. dx² - dy - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

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Q: SSS(x² + y²) dV where E lies between x² + y² +z² = 4 and x² + y² + z² = 9

A: E

Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

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Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

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

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Q: (x³ + y³) dx - 3xy² dy = 0; when x = 1, y = -1

A: The given differential equation is in the form  Mdx + Ndy = 0 x3+y3dx-3xy2dy=0 where M = x3+y3 and N…

Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

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Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

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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: 80x°y4z3 6. 4x2y8z3 Datianel:-a th dae d2l.cna.nl.ca

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Q: (zx" xy') dx-3xy dy 2-

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Q: Find the antiderivate of dx/(x2+4)3/2

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Q: calculate d2y/dx2 when y=e-(x-3)-x

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Q: 3x²y dx (x³ + y³)dy = 0, y(1) = y(1) = -2 -

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Q: .x(3xy-4y3 + 6)dx + (x³ - 6x²y2 - 1)dy = 0, when x = 2, y = 0

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