The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -IP(x) dx y²₁(x) e dx (5) Y₂ = x₁(x) as instructed, to find a second solution y₂(x). y" - 10y' + 25y = 0; y₁ = ex

Q: The differential equation has as a solution. Applying reduction order we set y = uxª. x² d²y dy dx²…

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Q: (a) 2xy? + x²y' = y², y(1) = = -1 (а) Зу(2? — 1) + (»3 + 8y — За) dy (b) 4x?3 dy гу* + 2 dæ (e) xy'…

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

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Q: dy +y 4)/2=x

A: Consider the following substitution: xy=u   ⇒   xdydx+y=dudx        and        y=ux

Q: Solve the exact differential equation (x* + y)dx +(3xy +1)dy = 0

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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

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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…