(х+2у — 1) dx — (2х + у + 5)dy %3D 0 IC:х — 1,у — —1

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: y(0) = 1. Supported with solutions, summarize your results in a table and also compute ɛ for %3D…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: What is the general solution? Your answer Answer the following questions for the DE. (y – 2)dx + (3x…

A: Here, we need to find the type of the differential equation y-2dx+3x-ydy=0 And also, need to find…

Q: Solve this DE using Substitution method  (x2+6y2)dx-4xydy=0 ; y(1)=1

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Q: A. Solve the following equation using integrating factors found by inspection. 4. xy(y2 + 1)dx +…

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Q: 3) I= dx 4) I= f cos?x dx

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Q: am stuck on this question given that I need solve 1b) via a direct reference to my 1a) answer…

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Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: 1. Put the following equation in separated form, do not integrate. dy _ x?y-4y a. dx x+4

A: Take y common from the numerator of right hand side.

Q: Find the general solution using substitution of the following DE: 1.) (2x + y + 6) dx + (2x + y) dy…

A: To Determine: Find the general solution using substitution of the following DE:

Q: A. Solve the following equation using integrating factors found by inspection. 3. y(x2 + y2- 1)dx +…

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Q: Find the solution. dy -+y= dx 1+e y = ce+e "*In(1+e") B y = ce"+e*In (1+ e*) y = ce -e *In(1-e") ye'…

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Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: Integrate by substitution: 2e dx 5e2a+1

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Q: NOTE: Enter the exact answer. r3-y 5y dx dy

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Q: dy Consider the IVP dx (2y – 3x)?, y(0) = 0.

A: Consider u as 2y-3x. Differentiate both sides of the equation u=2y-3x to obtain the expression of…

Q: integral. 2y (2 + 6x2 + 8y²) dx dy Jy

A: Given: ∫02∫y2y2+6x2+8y2dxdy

Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: dy d²y — 4х — + бу 3D 4х — 3 dx² dx

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Q: What is the answer for this DE? 1.) (y -

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Q: -= 3x+y², Use the Modified Euler's method to find y(0.1) correct to 3 decimal places given dx…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: Solve the equation dy/dx=1-y , given y(0)=0 using modified Euler’s method and find y at x=0.1 and…

A: Given differential equation is, dydx=1-y, y(0)=0. To find the solve the differential equation using…

Q: dy Determine given: dx ax*y3 – bxy = 36 where a and b are constants.

A: Given query is to find the derivative of the expression.

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: x+3y-2)dx + (x+3y)dy = 0

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Q: Solve the given IVP. x²° = y² + xy y(1) = 1 %3D dx Hint: Use substitution to change the equation to…

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: solve the differential equation with the given initial condition.

A: We separate the variables and then integrate both sides. C=integrating constant

Q: 1. Solve the DE as follows: " +3 d'y dy -+2y= 24 y(0) =10 and y'(0) = 0 di? dt

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Q: Find the general solution of the following exact differentia (e + 2ry)dx + (cos y +2a y)dy = 0.

A: As it is given the differential equation is exact si we can directly use the formula of exact…

Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

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Q: dy Use Picard's method to solve dx -xy, y (0) = 1 Find y3(1)?

A: Given :dydx=-xy =f(x,y)y(0)=1

Q: Solve the following DE by Two method : y dx – (2xy + y²) dy = 0.0 %3D a) Linear b) Exact [you must…

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Q: From the following equations select the one that is not exact and solve. (x2- у) dx — х dy%3D0 1.…

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Q: solve the differential equation with the given initial condition.

A: Given:  The differential equation .

Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Choose the four correct steps (in order) involved in the solution of S"I (2x – sin(y)) dx dy.

A: This is a question of double integration where we need to integrate wrt 'x' first and then wrt 'y'.…

Q: Find the solution of the following: 2. e2x (2cosy dx - sinydy) = 0; y(0) = 0 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the solution of the following: 2. e2x(2cosy dx- sinydy) = 0; y(0) = 0 %3D

A: The given differential equation is e2x2cosydx-sinydy=0 It can be re-written as…

Q: Solve the Euler equation 2r dy 2.x dx? -3r given that y(1) =1 and y'(1) = 2. +3y 0 dx jntaios

A: To solve given differential equation first we write the auxiliary equation and find the roots and…

Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

Q: OBTAIN THE GENERAL SOLUTION 2. dx: t (1+e?) see" x dt 3. x dx - Ja - x² dy =0

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Q: Find the complete solution First order DE dy = 2y3-ye dx Xe^y -6xy²-2y

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Q: Solve xy( 1 + x y? ) = 1 by using Bernoulli's equation. %3D dx

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Q: Given the DE: (5x - y)dy + (3x - 7y)dx = 0 Show your solution clearly and completely that the above…

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Q: Substitute y=y1+z  and dy/dx=dy1/dx + dz/dx into  dy/dx = P(x)+Q(x)y+R(x)y2 to get a Bernoulli…

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Q: If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.)…

A: Given query is to find the indicated derivative.