Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h = 0.5 and take initial condition y(1.9) = 10

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A: Solution is here

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Q: Q3) find the soluation of differention equation 1) 2y' = y cot(x)

A: To find the solution of the differential equation 2y'=y cot(x) Formulae used : ∫dxx=ln |x|∫cot(x)=ln…

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Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

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A: Please see the below picture for detailed solution.

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A: The objective is to find the integration.

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Q: Which of the following is equivalent to the expression a) √√³² Ob)-20 h³ d) h² • ?

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Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

A: Given differential equation is dydx=3x2-2y-y32x+3xy2

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: A. Find the volume generated by rotating the region bounded by y=x, y=1 and the y-axis rotated about…

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Q: 12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis volume generated.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: 10s²+17s+12₁ S³+27 L-¹1²

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 5 x² + 2xy dx…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Q1/ im-1 2ܨ (s+1)(s-1)2

A: This question is based on inverse Laplace transform.

Q: dx X २ Assume that x and I are differentiable functions of t, and 3xx -x ³² + y² = @ 3 Find dx (xc)…

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Q: 13. The graph of y = f(x) and y = g(x) are shown below. g(x) 6 (a) (b) f(x) 2 10 -2 Find h'(9) if…

A: Explained below

Q: ſº 5u³ – 3u³ – 9du

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Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1-x² dy = 0, y(0) = 2 y…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: -2 2 о 0 Ау N Х

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Q: [ (cosx+2sinx) COSX dx

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Q: Tess tried to solve the differential equation = 2xy - 6x. This is her work: dy = 2xy - 6x dx dy Step…

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Q: 3 s) Suppose that the direct demand and direct supply functions are q = - - 1 and q = 1 respectively…

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Q: x -2x +x= 15; x (0) = 7, x (0) = -16

A: This question is based on diffrential equation solved using Laplace transform.

Q: In this problem, y = c₁e*x+c₂ex is a two-parameter family of solutions of the second-order DE y" - y…

A: The given differential equation is;  y''-y=0, y(-1)=6, y'(-1)=-6.