Attached below is the differential equations problem/question: Solve the given initial value problem with the differential equations technique: Separation of Variables. Use Separation of Variables exclusively for this problem. After solving, make sure to transform your solution to the explicit form of the solution. Use Separation of Variables exclusively for this problem.   y' + (t2cos(t))y = 0, y(0) = 1

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A: see below the calculation

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Q: This is a dynamics problem using differential equations

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A: To Find a general solution for y'+ (1/x)y = 0, for x > 0. We use the method of seperation of…

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Q: 6- y" + 4y = cot(t)

A: Given:        y''+4y=cott        4yt+d2dt2yt=cott The differential has the form        y''+py'+qy=s…

Q: y = 1+e – 2y Solve for y as a function of z.

A: See the attachment

Q: 6 v = xe 5. Determine whether the function is a solution of the differential equation - 12y'-16y = 0…

A: Topic- differential equations

Q: Solve the given differential equation. x?y" - 12y = 0 +V7 Y(x) =

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Q: Find the general solution to the differential equation. y' = 2t   t2 + 64 y =

A: Follow the procedure given below.

Q: Find the general solution of the differential equation: y' + 4y = 2 sin(4t) Use lower case c for the…

A: To find the general solution of the given differential equation.