For the DDS given by yn+1 = Ус -0.5y + 30, find the equilibrium value.

Q: find the general solution with egienvalues and the phase potrait

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Q: Find a second linearly independent solution and write down the general solution: x²y" - 5xy' +9y =…

A: To find a second linear independent solution of the given problem where one solution is given.…

Q: 8. y"-2y-15y=0 y(0)=5, y'(0)=-3

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Q: Find an integrating factor for the equation -20p° dp + – 15pqª dq = 0 and transform it into an exact…

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Q: The demand for watches is given by p = 7000 − 2q dollars,and the supply of watches is given by p =…

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Q: 8. y" – y = 5sin²(x); when y(0) = 2, y'(0) = -4 %D

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Q: Conduction equation Solve the heat Uxx = Ut -U; U = u(x, t)

A: uxx=ut-u

Q: II. The Derivatives: Perform long method. 1. у %3D хVx — 1 2. у %3D Vx +2 t 3. x = 3-t 4. у %3D sec…

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

Q: If the equilibrium of dy/dx = y - sqrt(y) when y>0 is y=1, is it a stable or unstable equilibrium?

A: Given dydx=y−y, when y>0 We have to check whether y=1 is stable or unstable equilibrium. Note:-…

Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…

Q: Suppose A is changed to A' .How large a relative change can this change produce in the solution to…

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Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: 2xyy′ = y2 − 2x3. Find the solution that passes through the point (1, 2).

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Q: What is the stability of equilibrium points of A and B? Is the energy of B higher than A?

A: If the vector field lines converge to the point or stay close to a point at all times the point of…

Q: A spring has a mass of 10 kg, is underdamped with coefficient β = 5 and its frequency is 0.8 Hz.…

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Q: Baiji north Refinery use kirkuk crude oil(API=36) with total flowrate 150000 BBL/ Day(the price of…

A: The conversion of one BBL to liters is 158.987 liters. The cost of the total raw material can be…

Q: 3) For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T V . If…

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Q: The fuel-cost functions for the three thermal plants is $/h are given by C, = 400 + 5. 5P, + 0.006P…

A: The given constraint: 50≤P1≤15050≤P2≤20050≤P3≤300 Where P1, P2, P3 are the loads of the generator…

Q: 7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?)…

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Q: Find the solution. y'+ ty = ty3

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: Assume that the dynamics of caffeine absorption are given by Ct+1 = 0.87Ct , where t is time in…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  compare this…

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A: Given:- 2x+3y'=y+2x+31/2

Q: Solve the first-order linear equation ey' + 3ey = 2xe¯ = 2xe-5x, y(1)= 232.

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Q: Let y1 exp( 5 x) and y2 exp( 8 x) be two solutions for y" + by' + cy = 0. Find b and c. %3D The…

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Q: \y' = (y – 2) cotx -lve it as separable equation and verify your swer by solving it as a linear…

A: Topic = Differentail equation

Q: B- Solve the D.E.: y--e* = 0, y(1)=1 .

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Q: Find solution y, of the equation y" +y' -6y = 0.

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Q: Solve  y  =  x2 − 4x − 1 y  =  x − 8     (x, y) =

A: Given,