Given the first order IVP y'+3y : 3, 5a4e-3, 01 %3D with initial condition y(0) = 4. (1) Find the explicit solution on the interval 0 < æ < 1 y(x) %3D (2) Find the lim y(x) %3D (3) Then find the explicit solution on the interval a >1 y(2) =

Q: 3y = /2y – 1, y(1) = 1. ) Find the solution y = y(x) of this IVP. Please present your solution y =…

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Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

A: To find local maximum and local minimum  and inflection points of given function.

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Q: In Problems 35, 36, 37, and 38 the graph of a member of a family of solutions of a second-order…

A: Q.36 asked and answered

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Q: 15) Match the graph with the correction function. (a) (x) = 4' - 5 (b) S(x) = 4' + 5 (c) (1) = 4-X +…

A: (a).    The given function is: f(x)=4x-5

Q: A particular solution of x²y'- x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x) = xex

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Q: Parameterize x(y) = √√y+5y using y = t Ans=

A: The parameterization of x(y)  using  y = t  is  x(t)=t​+5tExplanation:Given expression is…

Q: Find and graph the solution to the IVP y'+ p(x)y = 0, y(0) = 3 %3D Where if 0 < x < 1 if 1 < x < 3…

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Q: x(t) = Find real-valued closed formulas for the trajectory x(t + 1) = Ax(t), where -4 ^-[33] -4…

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A: Our objective is given below:

Q: State the maximum interval over which the solution  is valid.

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A: We know that the definition of derivative is: We write the given equation in this format and find…

Q: 17) Let f(x) : Find a %3D X - 9 function y = g(x) so that (f •g)(x) = x. %3D

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Q: 4. For the function f(x) = x³ – 3x? (-1<x<3) (a) Find f' and f". (b) Find the critical points. Which…

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Q: uestion hat is y' (x) when y(x) = (4x³ + 6x)*?

A: * Logarithmic function property : ln ( an ) = n ln ( a ) * Product rule of derivative : ( f • g )…

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

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Q: 4x +3x f(x) = %3D 2x2 + 5 Slant asymptote is at y =

A: The given function is fx=4x3+3x2x2+5. First perform the division as follows.

Q: Prove that v5 is irrational.

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Q: Q 6. If the function f(x) = 2x - 9ax + 12a*x+1 has a local maximum at x x1 and a local minimum at x=…

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Q: a)Use the second derivative test to determine whether the function has a local maximum or local…

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Q: y'(x) = P(x) + Q(x) * y(x) + R(x) * y (x) P(x) = -e2** ricatti dif. Q(x) = 2 R(x) = e-2*x

A: The given Ricatti's differential equation is                    y'(x)=-e2x+2y(x)+e-2xy^2 ⋯⋯⋯⋯ (1)…

Q: Example find y (1) if dy y (1) if dy = 1/(x-Y) ; Y(0) = 1 dx (Use h=1) using Eulers method and using…

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