1 Find the solution the initial value problem x' = 1 -20 x, -3 x(0) = () 10 cos(4 t) – 10 sin(4 t) x =le-t sin(4 t) +3 cos(4 t) Describe the behavior of the solution as t → oo. x = → 0 as t –

Q: 2. Find the general solution of the differential equation: dr = 2 cos(30) sin(30) op А. 6r - cos(6ө)…

A: I am going to solve the given problem by using some simple calculus to get the rwquired result.

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A: Question is solved.

Q: 1. Find the general solution of the differential equation (1+ 9x²) cos y dy – 3(1+ sin y) dr = 0.

A: we have to solve this by separation of variable

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A: The given differential equation x'=t cost2use the integral formulas, ∫dx=x+C∫cos x dx=sin x+C

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A: Let's find.

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A: We will find the Differential equation.

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A: Given a differential equation, y"-xy'+2y=0 Here, px=-x and qx=2. So, both px and qx are analytic…

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Q: 8. (2 + y cos x) dx + x cos x dy = 0 Ans: In(sec x + tan x) + xy = c

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Solution :-

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A: The solution is given as follows

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A: please comment if you need any clarification. If you find my answer useful please put thumbs…

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