Q3) Solve the following boundary value problem using finite difference method given that d'y dy + + xy = 0 dx 2 y (0)=1 y (1)=0 (h=1/4) 029 dx

Q: 4. If f (x) = x°g (x), g(–7) = 2, g' (–7) = –9 determine the value of f' (-7). %3D %3D 5. Find an…

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Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: Find y as a function of x if y(1) = 8, y′(1) = 6. y = x²y" — 6xy' – 8y = 0,

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Q: 1+x+ (x+2y)dx+(2x+3y)dy=0

A: According to the guidelines I am solving only first question

Q: 27. (2x² + y² - 3)(x dy + y dx) = (xy)³(4x dx + 2y dy) 28. xy(dy/dx)2 - (2x² + y²) dy/dx + 2xy = 0.…

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Q: dy 1 csc(x) -csc(x) y = y* dx

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Q: Find the general solution of the following: dy 2x3 dx dy = xyi хуз %3D dy = (6e³x + 1)dx

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Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: obtain the particular solutions satisfying the indicated conditions: dx/y=(25-x^2)^-1/2dy; y(0)=1

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Q: 1. ſ f(x)f'(x) dx 2. S Vx³ dx 3. S csc?x dx

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Q: dx 2. S; x²-4x+5

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Q: (x2+1) dx = 0. xe'dy + dx 3 0. y

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 X = (u +1)? dy ; y = u? + 3 -> dx

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Q: Q6/Use Runge-Kutta method to solve (dy/dx = x³ + y2), y(0) = land h= 0.2, find y(1)

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Q: x²dy + (y² + 3xy + 4x²) dx = 0 when x = 2, y = 1

A: To obtain general and particular solution satisfying initial condition indicated byusing homogenous…

Q: 2. Solve for y in the equation y = e* sin x + e* cos x – y +c 3. Solve for f e* sin x dx in the…

A: Given, (2) y = exsinx +excosx -y +c  We have to solve for y (3) ∫ex sinx dx = ex sinx + ex cosx -…

Q: If yx^2 + y^2 = x, then the dy/dx is

A: Using derivatives formula.

Q: X- dx dy + (x – 7)y = 8x'

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Q: g. A thermometer reading 50°C is taken outside where the temperature is 30°C. Five minute later the…

A: Consider temperature of thermometer after 't' minutes is given by T(t), then from the given…

Q: The given function  y = 9x3e−x  is of the form  y = uv,  where  u = 9x3  and  v =  e−x       . Use…

A: So, y=uvthen product rule is ddxuv=dudx×v+u×dvdx

Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: 29.

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Q: find dy/dx x(х+1)(х- 2) (х*+1)(2х+3) 25) у%3 43) у%3D 1+(lin x)? 1+(ln x)?

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Q: find the particular solution y dx = (2y sin y^2 - 3x) dy x=1 y=0

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Q: The demad function for A and B are as follows- **see picture** where qA and qB are the quantities…

A: Given demand function for A and B: qA=10pBpA                       . . . (1) qB=3pApB3…

Q: dy 5. (x²9) + xy = 0 dx

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Q: Show that it is a equation with variables separable then solve  (y +1)dy/dx+x(y^2 +2y)= x.

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