キIND THE SOLUTIONS to THE DEFF ERENTIAL EQUATI ON y'= x? tyZ %3D メY

Q: 5. Find the general solution of the given DE: 2x + 2xy2 y + 2x?y dy dx

A: First We will separate X and y terms of the given differential equation and than integration gives…

Q: H.W Find y' for y = e©osx * tan¯'(5x) * (5x² + 1) ?

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Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: xy(dx-dy) = x²dy + y²dx ; when x = 2, y = 0

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Q: d'y dy dy +4 +5+2t = 10cost, %3D dt

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Q: Hiw Solve y=Jx+y' for X=oco.2) 2 by given Xo=0,9o=0· Rung Kutta methood Por 0.0.E (first ordey)

A: Runga Kutta First order method is also known as Euler's Method.

Q: 4 dx 1+ By using (Answer one only) a- Trapezoidal rule when n=5 b- Simpson's rule when n=6

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Q: Given the equation 2= 3x2 +1 with y(1) = 2. Estimate y(2) by Euler's method dx using h = 0.25. %3D

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: Can i get help step by step please?

A: Given expression

Q: Q3 using Euler method, find an approximate value of y corresponding to xe [0 - 0.7], dy Given = x(x…

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Q: Find the most general antiderivative. 4.9 #16 r(0) = sec 0 tan 0 – 2e®

A: Here we find the most general antiderivative of the given function.

Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: Use appropriate substitution to solve the following (iv) zy" + (y/) 0. %3D

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Q: Find the GENERAL SOLUTION. 1) ex-ydx + sin y sec x dy = 0 2) y(u? + 1)du + (u³ – 3u)dy = 0 %3D |

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Q: #5 ở V - (2xy sinz) - (3y~); + (5x> y? z?)k .* and vx ů. ealeulate

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Q: borhem Solve Linear Disfenen tial Faul in dy 0+16 y= X simx X sin x ble it on ni

A: Compare with linear differential equation then solve

Q: QA1 (a) Given that y = (3+4x²)° +10sin(5x) determine dx dy

A: The solution is given below  Please post separately

Q: olve the following initial value problem using variation of parameters: y" + 4y = cos 3x y(0) = 0,…

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Q: $(8y + x -x)dx + (y + 7x)dy = C (Type an exact answer, using as needed.)

A: Green's Theorem:∮Mdx+Ndy=∬∂N∂x-∂M∂ydx dy

Q: 1+y Determine the solution for the given DE: + zy?(1+x*)

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: • Find so lutions usino Ex act Equations 1.) solve (ysinx t xycosx) dx + (Xsinx + 1)dy=0

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Q: For the given DE with coefficients linear in two variables, do the following: (6x – 3y + 2)dx – (2x…

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Q: 2: Clasafy ad Solve The fllowing diffrential equatóns dy -2x e + + 4. Sinx フス2 フィ* + (6 y = 6x°1ox…

A: The general solution of an ordinary non homogeneous differential equation is the sum of…

Q: 些。x? dx z + 6 -4 y %3D хе ? dx4 with YLoI = 5,y'col =1, 9°co) --2 yiol e 007

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Q: glo) = 0,5 sdution of y(1) dr 410) di fferontial equation, take h=0,25 and with Euler's Method…

A: Given differential equation is y'=y-x2+1, y(0)=0. To find the value of the solution of the…

Q: Anjuer +2y°x ]dx+(2yx² – cos y)dy = 0, y(1)=n 3. n = Inx+x*y² – sin y #4 3. Solve

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Q: NON EXACT DE Solve: x(y^3 - x)dy-y(y^3 + x)dx=0

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Q: Find y' where y = sin (ze16 z) – 70sc z Answer. 16 z)( 16 z 16

A: y=sinxe16x-7cscxTo find y'

Q: sec z dr

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Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: Find the general solution of the following IVP: (32²tany + 2) + (x³ sec?y – 1) = 0, y(0) = 0. %3D dz

A: Simplify the differential equation to exact form and integrate each terms.

Q: Check for exactness and obtain the general solution. 1. (2xy – tany)dx + (x2 – xsec?y)dy = 0

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Q: For Arctan(xy) =y find the value of k so that ky ' = at y = 4 8 %3D n+4 2л A- 2 A+2 n-4 2n2

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Q: Obtain the general solution unless otherwise instructed d²y 1. dr? - y = 10sin²x | dx2 SUMMARY OF…

A: Given differential equation, d2ydx2-y=10sin2(x) So corresponding homogeneous equation, d2ydx2-y=0

Q: Determine whether y : y = x2 + 2 d²y sin x + x² is a solution to the DE dx2 %3D

A: We have to check whether  y = sin x + x2 is a solution to the DE  d2ydx2 + y = x2 + 2.

Q: Find the solution of: y" +y = 2e' ,y(0) = 0, y'(0) = 0 Select one: a. y = e' b. y = 2sint - cost +…

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Q: Find the sloution of the given DE dy y-x dx y + x = Yexact - y(0) = 1, h = 0.1 at x = 0.5 ? (find…

A: Introduction: Euler's method is a tool that is used to solve an initial value problem numerically.…

Q: Solve the DE by Method of Undetermined Coefficients y" +5y +4y = 90 sin 4r y (0) = 1, y (0) = 2, y"…

A: Given that y''''+5y''+4y=90sin4x Now take the homogenous term, y''''+5y''+4y=0 Take m=ddx,…

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: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. Find the solution (implicit or explicit) dy (y+1) = 3sin(x). y(7)= 2 dx %3D

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Q: Check for exactness and solve (3.ry + y)dx +(x +.xy)dy = 0.

A: Given (3xy+y2)dx+(x2+xy)dy = 0 Compare it with M dx+ N dy = 0 Here M = 3xy+y2N = x2+xy This equation…

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

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Q: (2х — 3)- dx; и %3D 2х— 3

A: Given, ∫2x-3-7dx ;     We have to find the antiderivative using the substitution u = 2x-3

Q: Can you help me step by step?

A: Differentiate the given function with respect to x,

Q: 1- y? 1+ y 4 06: If x? dx Show that 1 %3D ,2 dy レアス+1.

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