Solue d?3e 2 +4x=5in zt using methoel I Vorintion of parameters .

Q: Obtain the general solution por the di fferential equation %3D .(yd -x² )dy= 2xy dx %3D

A: Given; 1) y'=(x-y)/y. 2) (y2-x2)dy=2xydx.

Q: Find and at the given point without eliminating the parameter. x = Vi, y = 21 + 309; † = 1. dy

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Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: h =1 with the Trapezoid Method e*dx Which of the following is the solution of the integral?

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Q: Find the DE by eliminating the arbitrary constant  y = A+ bex

A: Given equation  y=A+be^x Where A & b are arbitrary constant.

Q: olve the equation x y² dy = (5 x³ + y³) dx using Homogeneous method.

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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: Evaluate I = |e dx using trapezoidal & Simpson methods. take h= 0.5.

A: Given: The integral is  I=∫02e-x2dx and h = 0.5   To determine: The value of the integral I using…

Q: Evaluate e*y dx dy by using trapezoidal and Simpson's rules.

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Q: Compute yarctar y? = 1 – 1+ y? ctan(y)dy. Hint: Note that 1+ y? fractan(g)dy- +C

A: we have to comloute the integral ∫ y tan-1 (y) dy we solve this integral by integration by parts…

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

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Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

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Q: 9. x=t² +1, y = 3t² + 2t . d y b) Find dx? Show All Work and Give Answer In Simplest Form.

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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: 27 (t +1)y" + ty' – y = (t+ 1)2, y(t) = t, y2(t) = e=t.

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Q: Home wurk find Jw me for the for au d fuuctivus : %3D x 4

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Q: (Hw) ex Test for Exactues ? (ext? + ax) dt+ (2tx* +zt)dx -.

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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: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

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Q: fnd he general sotetion ef me dAfferentral equation 6iy ty=2e t40 Sin smx de?

A: The objective is to solve the differential equation 8d2ydx2-6dydx+y=2x+40sinx

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: (a) Use n = 6 subdivisions to approximate the value of 6 Vx + 3 dx by the trapezoidal rule.

A: We need to find approximate value by trapezoidal rule. NOTE - AS PER OURGUIDELINES WE CAN NOT SOLVE…

Q: Solve the IVP: 1 (tan y – 2)dr + (x sec? y + )dy = 0, y(0) = 1 %3D

A: The given ordinary differential equation is of the form:

Q: Q.2 Evaluate () dx. 2x (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D %3D…

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Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

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Q: EA Solve the D.E. by Laplace Thans Ferm + 2y = 12 e given ycazo %3D

A: first we apply laplasa Transform both side then we solve

Q: fz? +z+1 I = dz co

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Q: H.W: Given that approximate 1 dx=2 use Trapezoidal rule with n=8 to 9 x² +1 4 the value of ß?

A: Trapezoidal rule

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

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Q: Q.2 Evaluate dx. (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D

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Q: Sahving DES with Homagoneaus Coafficients 2 (2724 y?) dz- xydy- o esson:

A: Rearranging 2(2x2+y2)dx=xydydydx=4x2+2y2xy       =4+2y2x2yxLet…

Q: a²z + ax? (c) Show that the function z = e* sin y + e cos x satisfies Laplace equation a²z = 0. ду?

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

Q: 1 dx using the trapezoid rule with n=4 1+x d. Use your answers for parts a and b to estimate

A: Given the integration ∫0211+x3dx

Q: the fact tbot E andL ofther,. L(x), 「ヘve-ses are Lbe)ミ1ax using of ench ofher, the formula well…

A: Given : E(x) and L(x) are the inverse of each other

Q: Express in form y=f(x) by eleminating the parameter x = ln t , y = 2 − t

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Q: Q3: Find the general solution for the following Deferential Equations using Variation of Parameters…

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Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

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Q: s zy dydz こミ0

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Q: dy 3. da + y = 2xy?e"

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Q: 3 5. Evaluate I x*dx exactly and find the actual error with the trapezoid approximation. 0.

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Q: Integrate dy (a) y'Jy? +16 6. (b) V6x Vox-x* dx –

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula…

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Q: Evaluck Ihe falloige intpuls Cor V dz b.ds e de 25+4x2 2.

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Q: Sulve the follo wing differntial equation by vier Lapla ce trans Beration trans Lrmation dy o ,…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: uct Theorem. 10. K y KM=

A: Solution

Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: Express in form y=f(x) by eleminating the parameter x = e−2t , y = 6e4t

A: Here, x=e-2t and y=6e4t

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

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Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

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