5. Give an equation, for y = v4 – x2 compressed vertically by a factor of 3 %3D

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Q: Use the method of variation of parameters to find a particular solution of y" – 5y' + 4y = e*. %3!

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Q: 5. Show that 1 T = VI? + y? satisfies the equation Tz + Tyy = T3

A: Given T(x,y)=1x2+y2

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Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

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Q: b) Use method of variation of parameters to find the general solution to the equation x²y" – 3xy' +…

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Q: classify the y'ty&e-o differantial equation and find its generad solution.

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Q: (a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following:…

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Q: Use the explicit Euler method to plot the  estimate y(2) if y(t) is the solution to y' = t - y3 with…

A: Given IVP is y'=t-y3, y(0)=1 we have  f(t,y)=t-y3 Here using n=10 steps, Then step size h=upper…

Q: 3. Solve the DE ty' + 2y = ont, 4. Solve dy dr 1+ y?

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Q: Find a particular solution to y"+2y' + y =t

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Q: Approximate the value(s) of x that satisfies the equation lnx =x2 −1.

A: The given equation is: lnx=x2-1 To find the approximate value of x that satisfies the given…

Q: Find general solution of y" – 2y' + y = , By Variation of t2+1' parameter method.

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Q: An equation that considers both the above assumptions is dP P kP(1 M - dt

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Q: m21 is nine times as large as m z2. Find mz1. -1 is supplementary to 2.

A: m∠1=9  m∠2                                       ------(1) and  m∠1+ m∠2=180°…

Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

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Q: 4y"-y=e^x/2+6 consider the following DE to be solved by variation of parameters

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Q: Find the solution for: y' – x e = 0 using separation of variables.

A: Solution of differential equation

Q: Use the variation of parameters to find the solution to the IVP. 0 1 et 1 X' (t) = x(t) + ,and X(0)…

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Q: y' -y"

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Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: xy' – y = 2x lnx

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Q: Solve the IVP y + 2y = 0 if t≥ 1 y(0) 1. Is the solution continuous? = "

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Q: Use the method of variation of parameters to find the general solution of the following DE.…

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Q: (10) Solve the given BVP by using Green's function: ; (ii) y" – y/ = e2; y(0) = 0, y(1) = 0

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Q: Use the method of variation of parameters to solve the following y + 4y + 4y e- In z, z>0

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Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' = 1+ e2y •Y(0) = 1 (h=0.01) .What is the error in…

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Q: Find the particular solution to the equation y'' – 8y' + 16y = 4e# ln t Y>(t) = %3D

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Q: Exercise 5 Using the method of variation of parameters, the particular solution , for y"+3 + 2y = "…

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Q: Find the general solution of the di f ferential equation *+ x .2 d²y + (x² – )y = 0.

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Q: B- Solve the D.E.: y--e* = 0, y(1)=1 .

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Q: Find the general solution to the DE using the method of Variation of Parameters 8 у" — 4у 3D e 2x +…

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: For an equation y' + ty = 5t, find the general solution for y using method of integrating factor.

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Q: H.w Solve y'+y'-zy= -2 f yoj=Zfylcojal

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Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

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Q: Use the method of Variation of Parameters to solve the following DE: у" — у %3D2х2 —х— 3.

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Q: Is y directly proportional to x? y = 14x-8x If so, give the constant of proportionality. If not,…

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