d. xy' – y – 5xª – 3x² + 2x = 0 when x = 1 and y = 2 -

Q: y" – 4y' + 4y = 2.x² + 4xe²" + x sin(2x)

A: Given differential equation is

Q: Solve for y at x=2: (4x^3 - 6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

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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: y (8x - 9y) dx + 2x (x -3y) dy = 0 where x = 3 and y = 7

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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: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: find d^2y/dx^2 if y= 17/ x^3

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Q: Find the equation normal to x² + 3xy + y3 = 15 at x = 1. %3D

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Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

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Q: dy 5x+4 Use 4-step rule to find given that y dx 2х-3

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Q: _x- y-1dx+(4y +x-1)dy = 0; y(2)=1

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Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: y = sech 0 (1- In sech 0)

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Q: 9/ (4x’y² - 2xy)dx + (3xʻy* - x*)dy = o

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Q: -4x-2 FInd given y =-2 dx Sx+3

A: By using partial differentiation.

Q: dy=y°-1 ex 2y

A: This is Separable differential equations

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

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Q: 5) (4xy + y) dx - 2 (x°- y) dy = 0 1

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Q: Find dy x 3 In (x - y) = xy + y²

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: Find of dy2 z = 2x – 5xy² + x²y³ -

A: Given equation, z = 2x3 - 5xy2 + x2y3 We have to find ∂2z∂y2

Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: y" + 4y = 2 sin(6x)+ 6x²e¬3z + 5x,

A:

Q: (A) Evaluate S (3x + 6) (4\/¤ +1) dæ. dy if dx 3x2 (B) Find 2 5 y = = (- 5 + 2x – when x = 1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

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Q: find dy. y = 2x/1 + x2

A: The given function is y=2x1+x2

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: dy 6. if y = (1+x²)etan-1x

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Q: ๆ ³₁₂₁ (4x²y — z³) dz dy dx -2 J1

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

A: Consider the function,

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

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Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: Solve ydx + (dy - 3dx)√(1-x²) = 0

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Q: dy y2-8y+5 13-1 dx x2+2x+5

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Q: Solve for y + In lyl at x=6: y'=(yx^2-y)/(y+1); y(3) = -1 4.5

A: The given differential equation is y' = y x2 - yy +1  with initial condition y ( 3 ) = -1. To solve…

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: find the PS of (16x+5y)dx +(3x+y)dy= 0. if the curve to pass thru the point (1,-3

A: 16x+5ydx+3x+ydy=0 -1equation 1 can be written as

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

A:

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

A: Differential equation

Q: dèy 6. dx2 1-cos4x if y = 1+cos4x

A:

Q: Find dx/dy  if y = 2x2+3/3x-1

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