dy b. dx 2x - 1 + 2xy – y with y(0) = 2 %3D %3D

Q: () dix + (") dy = 0 (x3 x³+y3• (**) dy = 0

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Q: d/dx (dy/dx)` x=1, , where y = x3 + 2x - 11

A: To find: The value of ddxdydx at x=1. Given: The function is y=x3+2x-11. Formula used: Power rule of…

Q: Find dy/dx. x = t2, y = 1 - 6t 1 2y dy dx II

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Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: Dx+Dy= ムxy43t Dx-Dy =-2x+2y %3D

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Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

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Q: 8. y dx = (3x + y³ – y²) dy; when x=1, y=-1

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Q: Find the general solution for (y + 1) dx + (4x-y) dy 0 %3D

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Q: -3 (x + y)dx dy

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Q: Dy/dx +(4xy^4)=0 X dy/dx-y=2x^2,y(1)=1

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Q: Find the general solution for (y + 1) dx + (4x – y) dy = 0

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Q: y-dx + (x2 + 3xy+ 4y²) dy = 0, when x = 2, y=1

A: Explanation of the answer is as follows

Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

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Q: ) (2xy+y2) dx - 2x2 dy = o 2) xy dx-(x + zy)? dy = o メ+ 2y)? dy

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Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

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Q: ylx + e (^-x)&y=c A 3x %3D e) (ay-3x) dx +xdy

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Q: I[ Tv° dz dy = x dx dy = y? x dx y dy

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Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: Solve dy = x'y° - xy t. dx %3D .3

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Q: dy/dx + 2xy + xy = 0 Ans. 1/y3 = -;+ 1 + ce3x? 2

A: The given differential equation is  dy/dx + 2xy +xy4=0

Q: x³ex? (Xie, 2010) y In y dy 2. dx

A: Given query is to find the solution of the differential equation using seperation variable.

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

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Q: Dx(Dx+Dy-1)z=x^2-4xy+2y^2

A: The given problem can be rewritten as: DD+D'−1z=x2−4xy+2y2  The complementary function of a partial…

Q: (x - xy + y)dx - xydy 0. ()

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Q: 3 dx dy +zXxgd x = X %3D Ans: y

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Q: 1 d'y dy + 5y = 0, subject to y(0) = 0 and y'(0) = 40 dx 4 dx2

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Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: y=(2x2+5cos(x))^7 Find dy/dx dy/dx=

A: dydx=ddx(2x2+5cos(x))7      Apply power rule:…

Q: dy/dx of y=e^3x+1

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Q: LS e*y dx dy dz 4.

A: Solution is given below:

Q: dy x + 3 y dx 3х+у

A: We have to solve given differential equation:

Q: x dx dy _dy V4 +

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Q: Find dy/dx and d²y/dx2. x = e*, y = te-t

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Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Simplify the given equation to obtain the expression of dydx.…

Q: a. x² - y2 + 3xy = 4 = 5 %3D dy I> = ? dx

A: The detailed solution is as follows below:

Q: In(y? + 1)dx +2dy 0 y2+1

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

A: Given.

Q: M                   dy/dx - y = e^x y^2

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Q: x³ dy y In y dx

A: We have to solve the following differential equation

Q: ® (3x°y-x)dy +(2xy=y) dx =0

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Q: (x-y)(4x +y) dx tx (5x-y) dy = 0

A: The given homogeneous ODE is: (x-y)(4x+y)dx+x(5x-y)dy=0...(1)

Q: dy dx + 4y - e* = 0, dr y(0) = 4 3

A: Given: dydx+4y-e-x=0, y(0)=43

Q: (x²- 3bxy+ zb?y²)(xdx +ydy) = xdy-ydx %3D 4. dy -y In(yecos *)dx = y sn x dx

A: According to Bartleby guidelines we need to solve the first question

Q: dx (1) dy (2x+y-1)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

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Q: (3x'y +)dx + (2x'y-1)dy o

A: