Q5) Use Euler's method with h-0.14 to obtain a numerical solution of y = 1+ (y-x)² subject to y(1)-1.59 giving approximate values of y for 1 ≤ x ≤ 24

Q: =y"' + (x − 253 of the form 2 a2 with a = 1.1 powers, then Jak where f(k)= k=0

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Q: Find all functions y satisfying y" + y" = y' + y. You may use the factor- ization x + x² – x - 1 =…

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Q: - 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular…

A: Given the differential equation: x-32y''x-3x-3y'x+3yx=2x-34ex To find the solution of above…

Q: 14)- Consider the following formula f"(x,) = a-4fo+3f-1 _ 2hfm(C) 6h2 3 Find the optimal h.

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Q: Use Picard's theorem, find the largest interval for which the IVP (x – 8)(x – 1) -y'%3D (x-6)(* +1)…

A: To find the largest interval on which existence and uniqueness guarantees a unique solution. For…

Q: Find the solution of 4x²y" — 4x²y + y = 0, x > 0 of the form Y₁ = x¹(1+c₁x + С₂x² + c3x³ + ...)…

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Q: What are the solutions of the equation 2sin(4x)=1 on the interval [0,n)?

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Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

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Q: 1) Q can range from 0.335 to 2291.97 -b+ y - 4ac 2a Using Where b =29.8 a=-0.013 C=-10 2) The…

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Q: 6) Given f(x )= 2x² - 2x + 4 and g(x)= x - 3 Find (f°g)(x) Substitute g(x) into the x of the flx)…

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Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: 3. The equation e* - 4x² = 0 has a root in the interval [4, 5], To find this root by fixed point…

A: Given : ex - 4x2=0    , 4 , 5  To Find : Roots of given equation by fixed point iteration.

Q: 3.2 A fixed point form of the equation f(x) = 0 is x = g(x) = x +1- 4xe*. Can fixed point iterations…

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Q: 4. x t +5 and y = 5-t for 1<t = %3D t

A: We are asked to find the domain of the graph.

Q: Select all the points through which a unique solution for the DE y'=/13-x²-y2 is guaranteed by the…

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Q: Let a +0 be any real number different from 0. If y = f(x) is the solution of y" – ay" = -48+48ax,…

A: the given differential equation is  y'''- a y''= -48 + 48 a x      .....(1) the associated…

Q: 3/(a) Let X × b(n, –) and E(x)= E(16–7x) find n.

A: Solution : Given : X ~ b( n, 14 )             E(x) = E( 16-7x ) To find n : It is known that for…

Q: a) Solve the I.V.P y'==, y(1)=2, and give the interval I of y definition of its solution. b) Does…

A: The solution is given as follows

Q: Find a general solution to (ax+b)y"+a(ax+b)y'- y3(ax+b)°, where a,b >0 with ax +b >0 for all x on a…

A: Given equation is  ax+b2y"+aax+by'-a2b2y=ax+b1b Cauchy Euler equation . To solve this put…

Q: Find a general solution of y"=(-2+2isqrt(3))y

A: Given that, the differential equation is- y''=-2+2i3y On simplifying, y''--2+2i3y=0

Q: x + 6x + x = t cos 5t x(0)= 0 (0) = 1..

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Q: 7. Solve for x: {x: xER, x<1}N{x: xER, x20}

A: Given

Q: csc q-2 =0 Find q, 0<q<2p/

A: This question is based on general solution of sine function.

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: lex. min. {g, (x), g₂ (x)} 9₁ (x): -2x1 - x₂ ≥ 9 92 (x): X₁ X1 - 2x₂ ≥ 10 st. 2x1 + 5x2 ≤ 16 6x₁ +…

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