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

Q: 4 ( Calculate -2x dy

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

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Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

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Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: 1 В(т, п) ym-1(a – y)"-'dy. am+n-1

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Q: Solve for separable equation xy +5y + 2x + 10 2xy - 10y -x +5 6. 2x + 3 -dy = 0 y - 6

A: The given differential equation is: xy+5y+2x+102x+3dx+2xy-10y-x+5y-6dy=0 To solve the differential…

Q: Find if dy y2+4 + In(x + 2) = xy3 dx 2vx+4 2yvx + 4 - 3xy² x + 2 Vx + 4 -3xy? 23Vx +4 1 x+2 2x+4…

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Q: 5 Find xy dydx. 4

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Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: 2ydx-(1-x^2)dy=(x^2-1)dx when x=0 and y=-1

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Q: Find y double prime using implicit differentiation5x^3+4y^3=1

A: We have given,

Q: 2. (8x³cscx++y+ 2y²sin²x)dx+ (x+2xy – ysin2x) dy=0

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Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: find dy y = etan-1 √x2+1

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Q: 2x+2 dx. 5. x2-2x+1 dy 6. 5. if y = (1+ x²)etan-1x

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Q: -2x y" + (e by = 0 (e-* = z) -

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Q: Compute ∆y and dy for y = x^2 − 4x when changes from x = 3 to x = 3.5.

A: Topic:- application of derivatives

Q: d’y - 2 y = 5x' + In(x²). dx

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

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Q: Find dy x 3 In (x - y) = xy + y²

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Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: 2ydx + x(x² In y-1)dy=0

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Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

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

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Q: 4. (x +y- 4) dx - ( 3x-y-4) dy = o when x=4, y=!

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Q: y" + 4y = 2 sin(6x)+ 6x²e¬3z + 5x,

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Q: N= 8%° + 3s $1

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Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

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Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

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Q: Find dy/dx y=(7x-1)tan(2x^2-x+9)

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Q: find dy/dx of x^5y-xy^5=1

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Q: dy 6. if y = (1+x²)etan-1x

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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: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

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Q: Find without using the Chain Rule

A: The given differentiation is:  ddxlnx101 To evaluate the given differentiation, apply the…

Q: 2 4. S dy 1 y +y° - 3

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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: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

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

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Q: dèy 6. dx2 1-cos4x if y = 1+cos4x

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: tan Зy limy 0 3y O 3 O undefined

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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

A: