Use an appropriate analytic method to solve the IVP. x' = 4 x(0) = -1 4 +x x(t) = Use your own numerical equation solver with At = 0.001 to solve the problem at t = 8. (Round your answer to six decimal places.) x(8) × Compare the value of the numerical solution at t = 8 with the analytic solution at t = 8. x(8) =

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Q: Q2 Solve the differential equation y’’(x) + y’(x)-2y(x)=0 Evaluate the arbitrary constants in the…

A: Explanation of the answer is as follows

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Q: x-1, X)1 find the generol solution of the differential eguation below

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f…

A: f''x=3x2 Integrating with respect to x on both sides, we get ∫f''x dx=∫3x2 dx⇒f'x=3·x33+C1⇒f'x=x3+C1…

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: How do you solve question 8?

A: We use Newton Raphson method to solve the question listed. The formula is given as, The following…

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A: Given differential equation is t2y'' - t(t-3)y' + (t-5)y = 0

Q: Q5: Use the method of variation of parameters to find the general solution of the differential…

A:

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

A: The given differential equation,      2y'+y=7t2

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Q: Determine the longest interval in which the initial value problem is certain to have a unique twice…

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Q: 4. Find the positive root of the equation correct to 3 decimal places, using Newton-Raphson method…

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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: Q2. Find the family of solutions of the differential equation dx Sketch the family of solution…

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

A: We know that , A first order linear differential equation has the form ,  y' + Pt y = Qt  We have…

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Q: at

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Q: Solve the IVP of differential equation and write the interval / a) where the solution exist, b)…

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Q: f (x) = y = x³ +x– 10 = 0

A: Using Newton raphson method.

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

A: We have to solve the given differential equation. Also find the value of y as t tense to infinitive.

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Q: 3x =2 when x= What is the particular solution to the given differential equa

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

A: The objective is to solve the above question.

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: we can find the particular solution.

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A: Topic-basic maths

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=…

A: We have to find the solution x(t) using the method of variation of parameters.

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Q: For the differential equation x2y'' - 7xy '- 20y = 0, check that y1= x-2 is a solution. Find its…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s)…

A: topic - differential equation

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: using initial value problem solve differential equation

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

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Q: - ydx + (x ++xy )dy= 0

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

A: Above question is solved.

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

A:

Q: Find the terminal value, lim y (r), for the solution of differential equation dy + 3z'y - 6z". dr

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Q: Find the particular solution to the differential equations,Evaluate the polynimial by finding the…

A: Given that: xdy+ydx+xy(3dx+dy)=0x=-3 and y=9

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A:

Q: Find the particular solution that satisfles the differential equation and the initial condition.…

A: The given differential equation is  f'(x) = 8x f(0) = 9

Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f…

A: We have to find solution

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Q: The first approximation P of the solution to the equation f(z) = x² – 8 that is near to Po = 4 using…

A: As we know that the iteration formula of Newton's method is:   Pi+1=Pi-fPif'Pi  i=0,1,2,3.....…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.