Q. Solve the boundary value problem d²y dx² And the initial conditions are y(0) = 1.5 and y(2.5)=-3 for h=0.5 using finite-difference method. Note: Please show steps to your answers. X dy -(sin x)- +4y=2y-cosx dx

Q: 7. (y + y cos x - ye*) dx + (3x + 3 sin x – 3e*) dy = 0; y (0) = – 1

A:

Q: x-1/2c (4) y = x sinh 2x – cosh 2x

A:

Q: 는 (1-5)~ dx =C 1+2e dy + 2 Find the gereral solution.

A: To solve the differential equation:  1+2eyxdy+2eyx1−yxdx=01+2eyxdy=−2eyx1−yxdx⇒dydx=2eyx−1+yx1+2eyx

Q: 5.) Ms. Cyrus has 64 songs on her phone. Two- fifths of the songs are R&B songs. The rest are jazz.…

A:

Q: 8. Show that the function y = ex (sin 2x + cos 2x) is a solution of the equation y" — 2y' + 5y = 0.

A: The given function is; y=ex(sin2x+cos2x) And the given equation is; y''-2y'+5y=0.

Q: - the D.E.: xdy + (2y – x³y² sin(x))dx = 0

A: Given differential equation xdy+2y-x3y2sinxdx=0 which can be written as  dydx=-2y-x3y2sinxx

Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

A: Step 1:

Q: Solve: (cos x) · (dy/dx) + y sin x = 2x cos2 x, y(Tt/4) = (-15/2-n2)/32.

A: The given differential equation can be written as :            dydx +ytanx = 2xcosx So, the…

Q: X(t) = b cos(wt) + V a² – b² sin²(wt)

A: We will use differentiation rules to solve this question.

Q: If h (x) = sin (4x) then h 0. V3 V3 2 II

A: Given that hx=sin4x.

Q: dy/(3x2) = (1 + y²)1.5 dx.

A:

Q: Given y = 5e³ + sin(x), OOOO 2.667e³-cos(x) 15e³ + cos(x) 15e³ - sin(x) dy dx 5e³ + cos(x)

A:

Q: TRANSCRIBE THE FOLLOWING TEXT IN DI

A: Introduction: The rate of change of a function f(x) with respect to x at a location within its…

Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³; (4) y = x sinh 2x-cosh 2x (2) y =…

A:

Q: Evaluate x² sin (logy) y4 [5² K -dydx + I ² sin(logy) dydr.

A:

Q: Solve the problem by using Exact DE 3 1. (2 x³ x y² - 2y + 3) dx − (x² y + 2 x) dy = 0

A:

Q: 2. 10 points Solve the first order initial value problem dy y(0) = -2 dx + 2y = 3e-*,

A:

Q: What is the solution of the equation dey/dx=y/x+tany/x

A:

Q: 6x-7 4. S (2x+1)(4x²+1) dx In(4x² + 1) – 2 In(2x + 1) -Tan" (2x)| + C'

A:

Q: xy2-cos x sin x y' = ху?-со -cOs x sin У(1-x?)

A:

Q: Solve for the general solution * (eУ — усos ху) dx + (2xe-У — х соs ху +2у) dy %3D0

A:

Q: OJennifer Findley Write an approximate measure for each angle shown.

A:

Q: 2. Solve dy dx = e 5x + sin 3x + 2x; y(0) = 2

A:

Q: 3- Solution of the following equation * dy 2 d?x = 2(3+ x2 - xy)/x³ dx

A:

Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 -…

A: