The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4. e-/P(x) dx Y₂=Y₂(x) [5 x²(x) as instructed, to find a second solution y₂(x). y" + 64y = 0; V₁ = cos(8x) -dx

Q: dy dx -y dx + (x+ /xy) dy =e (x+/xy

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Q: 3. Solve each equation. y(0) = 1, y' (0) = -1 (a) y" + 4y = 0, (b) y" + 5y = 0

A: We have to solve given problem:

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A: The given differential equation is, x't=fxt. The equilibrium solutions occur whenever x't=fxt=0.…

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Solution is uploaded below.

Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine…

A: Find your answer below

Q: Find all general solutions of y'(t)=(t+1)(y(t)2-1). Leave the solution as the form y(t)= an…

A: Given data:     The given differential equation is: y’(t)=(t+1)(y(t)2-1).     The given differential…

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: We will use the reduction formula to find the other solution, y2

Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: y"+y=82 (t) cos(t), y(0) = 0, y'(0) = 0

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A: To find- The indicated function y1x is a solution of the given differential equation. Use reduction…

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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