मराठी

What is the general solution of the differential equation ey′=x? - Mathematics

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प्रश्न

What is the general solution of the differential equation `e^(y') = x`?

पर्याय

  • y = xlogx + c

  • y = xlogx − x + c

  • y = xlogx + x + c

  • y = x + c

MCQ

उत्तर

y = xlogx − x + c

Explanation:

The given differential equation `e^(y') = x => dy/dx = logx` 

`dy = logxdx => intdy = int logxdx`

y = xlogx − x + c

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