2. Use Runge-Kutta method to solve the IVP dy x +y? y(1) = 2. dx ху Use h=0.2 and approximate y(2). Compare the approximate values with the exact values at х%3D1.2, 1.4, 1.6, 1.8, 2.0.

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A: Given: x=3e-t, y=2et To evaluate: d2ydx2 We know that ddteat+b=aeat+b and ddtkft=kddtft To find…

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Q: Solve the attached equations  by the method of undeterminedcoefficients.

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Q: dy 1) (a) Find the equation that satisfies the following IVP: =.5y_y(0) = 20 dx (b) Find the IVP…

A: To find out the particular solution of the given differential equation.

Q: tan(r) = sin(-4cjs32°) solve for x %3D a. 1.5241cjs9.0104 b. 1.5053+0.2387j c. 1.5241e0.01573j d.…

A: Given below answer

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Q: Verify the exactness of the given function (1+ex/y)dx+ex/y(1-x/y)dy=0 and then write the complete…

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Q: X = y + % y = 0.000396707 – 0.24576 x2 22 = 0.00029753 - 0.12288 x²

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Q: Find the solution to the Bernoulli equation: dy/dx + 2y/x = -x²y³

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Q: H.W: Solve B.C Ans. سے لے 2 dx² y = X dx X² ylı)=1 = y(2)=2 Use h=0₁/ y (1.5) = 1.481159 + Sin(Lnx)…

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Q: B Solve the following D.E y(6y² – x-1)dx+ 2.xdy = 0, y(6) =1.

A: Given: y(6y2-x-1)dx+2xdy=0, y(6)=1 The given differential equation is a bernoullie differential…

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A: Given: Let us consider the given, ∫-∞∞dxx8+7 To check for convergence, use integration, the Direct…

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Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: If y' = and y (In 3) = 3, find y.

A: Here the differential equation is y'=exy2, with initial condition y(ln(3))=3.

Q: Examplei- Let F 4)= tittjt Sintk then find a)

A: Given,           F→t=ti+t2j+sintk

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Q: 1.2. Solve the following DE's and find particular solutions where possible. i. (y? + 4)lnx + x 0,…

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Q: Question 1 h (x, y) = 2xy + 3x² + 4x³y² +8 What is the value of Əh(x,y) dy when x = 2.2 and y = 3?…

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Q: Solve the Bernoulli's DE: 2x3 y = y(y? + 3x2). %3D

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Q: 3. (2х — Зу)dx + (2у — 3х)dy %3D 0

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Q: Determine whether or not the following equation is exact. If so, find the solution. 1. (2xy² + 2y)…

A: Since it's a multiple question. So as per our guidelines, we are supposed to solve only first…