3xydx + (x² + y²)dy = 0.

Q: /3 2 %3D

A: To find: The value of dydx. Given: The equation is y=x35x2+1-23. Formula used: Chain rule of…

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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

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Q: (x*y - 2xy) dy dx 2.

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

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Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: dy/dx=y2/3

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Q: 4.Jy2-プdy

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Q: y (x² + y²) dx + x (3x? – 5y²) dy = 0l -

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Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

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Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: Evaluate the integrals

A: The given integral is ∫02∫03y∫x2+3y28-x2-y2dzdxdy.

Q: 2e2x) when x=0 and y=3. dx Compute

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Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

A:

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

A: To findd2ydx2

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

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Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

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Q: 2ydx + x(x² In y-1)dy=0

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

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Q: y = elx²+2x+3)2 y = ise dy =? dx

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Q: I Solve the fllowing FODF 2y(x+y+2) dx + (y²-x²_ 4x-1)dy = o when x=2,y= 3

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Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: 2 6x? Find dy for y = x? 6x + 7 dy =

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: Q2) Solve (y+ysin x) dx - (cosx- 2xy +) dy = 0

A: Given differential equation is  y2+ysinxdx+-cosx+2xy-1y2+1dy=0 Comparing it with Mdx+Ndy=0, we get,…

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

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

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Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

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Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: and Y=-2 when X=Z dx

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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: x/1-y2 B, dx %3D 1+x²

A: dydx=x1-y21+x2

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find…

Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: Find dy/dx2 implicitly in terms of x and y. x*y – 6x = 9

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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: Q2) Solve (y² + ysin x) dx – (cosx – 2xy +) dy = 0

A: If the equation is of form, Mdx+Ndy=0, then the equation is exact if ∂M∂y=∂N∂x. If the equation is…

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

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

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Q: Find dy for y= dy= 2 4x + 8 X

A: Given.

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

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Q: Find d^2y/dx^2 given 2xy-y^2=3.

A: Since we are given 2xy-y2=3 - (i)Our aim is to find d2ydx2 of equation (i) = ?

Q: For y = 5x2 + 10x - 3, find dy at x 4 if dx 0. 1.

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Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

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Q: Find dx/dy  if y = 2x2+3/3x-1

A: Given that y = 2x2+3/3x-1 To find Find dx/dy