- It is known that y1 (x) = x and y2(x) = x are solutions of the differential equation xy" - 2xy + 2y = 0. %3D (a) Verify that y3(x) = 2x + x is also a solution of the differential equation. (b) Use the Wronskian to determine whether y1, y2 and y3 are linearly dependent on the interval (0, 00).

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Q: Match the differential equation y′ − 2xy = 0 with its solution as attached

A: y'-2xy=0dydx-2xy=0dyy=2x dxThis is variable separable form .

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A: We have to find explicit solution of First order linear differential equation:

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A: The solution is given as

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A: We have to find the value of y2(x) To find this we using formula (5)

Q: Match the differential equation y′ − 2xy = x with its solution as attached.

A: Given: y'-2xy=x for solving this we will use variable separable method we know that y'=dydx

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A: The solution is given as

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Q: Match the differential equation y′ − 2x = 0 with its solution as attached

A: Here given as y'-2x=0Or dydx=2xordy=2xdx

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