x-( »)**(m (X' - -16 6. X'= con(6e) 10 16 X(w/6) -

Q: Solve at² + 5 + 4i= 8 if i (0) = -1 and at (t) is calculated as [ di(0) at = 0. e-4tju(t) amps.

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Q: if f(x)=2x-cos(x), Use Newton's method to approximate x, starting from the initial value xo=0

A: Solution:-    fX=2x-cosX           x0=0    f'x=2+sinxwe know      x1=x0-fx0f'x0           =0-f0f'0…

Q: Solve the following differential equation. (1-x²)dy -2xydx = 2 (x-x* )dx

A: The objective is to solve the differential equation.

Q: %3D Solve the initival value problem: / = -8 cos(2a)/(6+5y), y(0) = -1.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"…

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Q: (D²1)y = 5 sin² x ; y(0) = 2; y'(0) = -4

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Q: (b) Investigate the solution of the initial value problem i = -9x where x = -1 and * = 3 when t = 0.…

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Q: Find the general solutions (implicit or explicit) to the following equations. (a) y' = e3x-2y + x²…

A: First order ordinary differential equation.

Q: b. Solve the initial value problem: f (x)= sin x +e2, f(0) = 4 1 f (0) 2

A: Given: f''(x) = sin x + e2x, f(0) = 14 and f'(0) =12

Q: QI/ Aaswer the following: a) Solve the following initial-value problem: xe dx + (y - 1)dy 0; y(0) =…

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Q: 10. (x+2y) 을. Fy. dx

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Q: (c) f(x) = Sn(cos(tanx)) %3D

A: (c) Chain Rule: The chain rule of differentiation is given by, ddxfgx=f'gx·g'x.   The given function…

Q: a. = (x² − 1)(x² − 3) dx dt dx b. da = (x − 1)(x − 2)³ dt

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Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1  Using the Newton-Raphson method…

A: The function given is as follows: fx=8e-xsinx-1 (a) We are asked to find the least positive root…

Q: Solve the following initial-value problem. ƒ'(x) = 2 cos (x), ƒ(²) = −8+√³ 3

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Q: z" +7.84x = 5 cos(3t), (0) = r'(0) = 0

A: For the given initial value problem x''+7.84x=5cos(3t) with x(0)=x'(0)=0 To find the solution of IVP…

Q: 5. Find the solution(s), if any, of the following equations. (a) cos (2x) = 5 cos(x) + 2, where a E…

A: Given:- cos(2x) =5cos(x) +2 when x∈ [0, 2π] csc-1(-√(x2+1)) -tan-1(-√3) =cos-1(1)  To find:-…

Q: Solve 2cos? (x) +3 cos (x)+1=0 for all solutíons osx<2 TT

A: Given 2cos2x+3cosx+1=00≤x≤2π

Q: Graphically solve for 0 < x < 2n 5 cos(x) %3D 2х — 9

A: We have to solve the equation graphically  : 5cos(x)=2x-9  for 0≤x≤2π

Q: cosy dx+[x+le dx +[x+1

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Q: e y1(t) – 6yl(t) + 8y(t) = e2t + sin (t) ; y(0) = 0 ; yl(0) = 1 %3D

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Q: Find the solution for cos(x)" - (1 + x²) – 2xy = with the conditions dx2 1+x2 y(1) = -1, y(2) = 2…

A: Given equation is  cos(x)d2ydx2-(1+x2)dydx-2xy=11+x2 with y(1)=-1 and y(2) = 2 h = 0.25 To solve  -…

Q: Solve the following differential equation Integrating Factor by Inspection: 1. (x4+y4)dx+xy3dy=0

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Q: Prove that v5 is irrational.

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Q: 1. Evaluate 3 √² 13 0 |3x² - 12 dr.

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Q: Give an explicit real general solution to the following equation. (b)  x'''' + 18x'' + 81x = 24…

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Q: a" + 3a' = 3 cos(t) – sin(t), 3 cos (t) – sin(t), a(0) = 3, a'(0) = -2.

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