Example find y (1) if dy y (1) if dy = 1/(x-Y) ; Y(0) = 1 dx (Use h=1) using Eulers method and using Runge kutta 2 and 4th order methods, write your results in tables and compare the results with the exact solution ?

Q: Look at picture please

A: Given,

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: Implicit definition- solve for dy/dx 4x^2 +y^2+2x-3y+2x^3y=2+6xy

A: Here we will take derivative both sides with respect to x and then apply chain rule.

Q: y (3x² √ + 1 ) dx = (-) dy solve exact equation

A: Step 1: Step 2: Step 3: Step 4:

Q: Find all complex roots of the equation cos z = Log(i)

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Q: dy/dx= (6x^3-1)/(2xy-3x), y(1)= -1, x>0 Please show steps clearly, this is a seperable equation…

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: integrate (5x-3)/(2x+1)^(1/2)dx I tried to compute this with a u-sub where u=2x+1 and I got…

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Q: Find y' y = 5x² + a4

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Q: Solve by separating variables (x-4)y dx-x³ (y²-3) dy=0

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Q: Find linearization of the given function: f(x) = 1/x at x=0.5, dx = 0.1 %3D

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Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: (3x2y1/2+1/y)dx=(x/y2-(x3/2(y1/2)))dy solve exact equation

A: Approach to solving the question: Recognize the form: The equation is presented in the form M(x,y)…

Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

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Q: y = 2" In (cot (Tx))

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Q: x²e-3x dx

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Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: we have been given the slope of the equation xy=x-2y,at (4,1) it can be written as  xy=x-2y

Q: dž 3 9. with x(0) = dt -1 -3 x1(t) = help (formulas) x2(t) : help (formulas)

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Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below

Q: A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt =…

A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: Solve y(y ³-x) dx + x(y² + x) dy=0 A B 2xy²-x²=cy² D 3 3 2xy ³ - x²=cy ³ © 2xy³-x²=cy² (C) 2xy³ – x³…

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Q: Y = √²n²√x+1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

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

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

Q: dy 3(x+y+1)2-(x +y- 1)² dx

A: Given :

Q: 4 xf (x* )dxif f(x)dx = 5. Find Enter the exact answer. f (x* )dx=

A: given:-∫04f(x)dx=5now∫-20xf(x2)dxlet,x2=t2xdx=dtxdx=12dtx=-2,    t=4x=0 ,       t=0

Q: If y=x^(2)+81, find the relationship between (dy)/(dt) and (dx)/(dt) Where x,y depend upon t.

A: We have to find the relationship between  and where  and  depend upon .We use Chain Rule to answer…

Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: solve it using long method and method of grouping. (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0

A: This equation is exact. By using exactness we shall solve it.

Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

A: