(b) Find the solution for cos(x)- (1+x²) – 2xy = z with the conditions d²y dx2 1+x2 y(1) = -1, y(2) = 2 and h = 0.25 by using finite-difference method.

Q: cos(x)y' + sin(x)y = 2cos³(x) sin(x) — 1, y(4) = 3√2, 0 < x < 1/17.

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Q: B 4a X A 66° 20

A: The given figure is -  We have to find the value of 'x'.

Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 O A.…

A: solution of differential equation

Q: (1) [(x³ + +7) dx x

A: Multiple questionSince this is a multiple question, according to the Bartleby answering rule, only…

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

A:

Q: y(7) −4y(6) −4y(5) + 56y(4) −156y(3) + 224y'' −176y' + 64y = ex cos(x)−3e2x + xe−4x What is the…

A: y(7) −4y(6) −4y(5) + 56y(4) −156y(3) + 224y'' −176y' + 64y = ex cos(x)−3e2x + xe−4x

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

A: First order ordinary differential equation.

Q: If g (t) = sint dt, then g'(x): Sva 2t sin √x 4x sin x 2x sin √x 2√x COS 4 x None of these =

A:

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: Find the IVP solution for (y² cos x − 3x²y — 2x)dx + (2y sin x − x³ + ln y)dy = 0 given_y(0) = e.

A:

Q: Use variation of parameters to find a particular solution, given the solutions y₁, y2 of the…

A:

Q: y′′+ 4y = 32t cos 2t, y(0) = 0, y′(0) = 2

A:

Q: Find F(s). F(s) = L{e-⁹t cos(2t)}

A: We have to find .

Q: g (x) = (x + 1) (x – 5)

A:

Q: Solve the following DEs (in implicit form): (a) [x² + cos y ]dy + [2xy]dx = 0 dy (b) _xy − y² + (1 −…

A: Note:- According to guideline we can do 1 question so i am solving first question all sub parts.

Q: f(X)=cos(x) +3x defied at * O x=pi/2 O x=2 *pi Non O O C

A: Given:        f(x)=cos(x)+3x

Q: f ‴(x) = cos(x),    f(0) = 4,    f ′(0) = 6,    f ″(0) = 7 Find f.

A:

Q: (1) Integrate the following functions: (a) I = [ (4x³ − 6x² + 2x²³¹′)dx (²-3)dx 2 (b) I = .3 (c) I =…

A:

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

A:

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: Find and show the work for 2 (x+3)(3x+2) dx. (a) (b) SF (sin(2x) – cos x) dx.

A:

Q: Solve (D3 – D2 + D – 1) y = x – 2 sin (x) – 8 cos (x)

A:

Q: Find where y(x) is defined by d²y dr? (a) 3x2 – e2, (b) sin 3x + cos r, (c) 1+x – x2 + In r. - -

A:

Q: Solve the following nonhomogeneous ODES. (a) y" = -4y + e2#; (b) y" – 4y + 3y = e²; (C) y" = y+ e²…

A: Given that  The following differential equation  To find the general solutions

Q: Use undetermined coefficients to find the general solution of the ode 3 y" + y − 3y = cos(x) + 5x²

A:

Q: (2x) Sinx 2. Prove that (1) Jy₂ (x)=√√(x) =_ (11) J-y₂(x) = √(3/1²) Cosx

A:

Q: Which of the following equations CANNOT be solved using the method of undetermined coefficients? y "…

A: Firstly we define method of undetermined coefficient

Q: #17 Determine the equations of function graphed below.

A: According to question We have to calculate the equation of the graph.

Q: (a) y(x) = x+2√x+5; (b) y(x) = e³ cos(4x); (y − x)y' = y − x + 2. y" - 6y' + 25y = 0

A:

Q: Find a particular solution yp(x) to the equation y′′ + y′ − 2y = 5 sin x in the form yp(x) = c1…

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Q: Perform the indicated operation. (303-j19) (j2-1)

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Q: (a) Find of: dx (i) e? – x y = cos(2x) (ii) y = (V4x2 + 1 – 5x)

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Q: (b) Solve y -4y = (r – 3) sin 2x, by the method of undetermined coefficients.

A:

Q: (cos (x) – 1) d = -sin(x)(x² – y)

A:

Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

A: