55-58 Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval. 55. -x' + 4x + 1 = 0, (-1, 0) 3

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A: Given that

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A: We will find out the required solution.

Q: 2.(Trivial) Verify that for any positive integer n the piecewise defined function x2n+1. – x2n+1. x…

A: y = x2n+1, x<0andy'=(2n+1)x2n+1-1y'=(2n+1)x2nVerifying;xy'-(2n+1)y=0L.H.S.=x (2n+1) x2n -(2n+1)…

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A: Please find attachment for the details solution

Q: Solve the initial-value problem by using integrating factors. y' = y + 8xex, y(0) = 8 y(x) =

A: we will find the required.

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A: (a) The associated homogeneous differential equation is                     x''-x'-2x=0…

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Q: 10- All bounded solution of differential equation is a- stable b- unstable c- neither (a) nor (b).

A: The solution is given below

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A: Find the differential equations of the families of curves.

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A: Given that,The nth root of a number can be approximated bythe recursive…

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Q: a2u Q15// Solve the partial differential equation tan-1x sin³y дудх ди given that = y when x = 0 and…

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A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: (D? + 9)у %3D 5е* — 162х || -

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Q: Verify that the given function is a particular solution to the specified nonhomogeneous equation.…

A: Given differential equation is y"-y'-2y=1-2x, yp=x-1, y0=0, y'0=1

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A: to be found - Differential equations for the family of curves below, Straight line having slope and…

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

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Q: Verify that the given function is a particular solution to the specified nonhomogeneous equation.…

A: To Determine: Verify that the given function is a particular solution to the specified…

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Q: construct a first-order linear differential equation whose solutions have the required behavior as t…

A: Consider y=f(t)+3we have to choose some function f(t) such that f(t)→0 as t→+∞, for example…

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A: Given: y"-2y'+y=x-1ex , x>0                     1yp=xexlnx , y1=e, y'1=0…

Q: In each problem, obtain the differential equation of the family of plane curves described and sketch…

A: Given:        cy2 =x2 (x-a) Here c=x-a       cy2 =x3-x2a  Differentiating on both sides…

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A: Newton’s method: Newton method is a numerical root finding algorithm:

Q: Obtain the factored form a linear differential equation, with real and constant coefficients, that…

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