5. Find the explicit particular solution of the initial value problem. 2V () = cos?y; y(4) = 4 1 Useful Identity: sec?(y) and S sec?y dy tan(y) + C cos (y)

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A: the given equation is y = ex sinx + ex cosx - y +c

Q: %3D

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A: The given differential equation can be written as :            dydx +ytanx = 2xcosx So, the…

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A: Given that hx=sin4x.

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A: Solution is given below:

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Q: 2. (VP-3) Use variation of parameters to find the general solution to the following equation: y" + y…

A: Given: y''+y=sec x tan x To find: The solution of the given differential equation using variation of…

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A: Consider the first order differential equation given by, We can solve these differential equations…

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A: for cosα we have to find way to eliminate θ . For tanθ we can use ratio of x-x1 and y-y1 .

Q: 10. If cos(x + y) = 2x- 2y, find y'.

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Q: 47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the…

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Q: 21. y = csc 2x 22. y = tan 2 Vx* + 1 x tan x 24. y 23. у x? + 1 1 + sin? x

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Q: Solve cos(2x) = v3 cos(x) – 1 where x E COS [-27, 27].

A: Given x∈[-2π, 2π]

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