Solve the initial value problem `e^((dy//dx))=x+1; y(0)=5.`

Explanation

We have given

`e^((dy//dx))=x+1; y(0)=5.`

Taking antilog on both side..

` dy/dx=ln(x+1)`

`dy=ln(x+1)dx`

Taking partial integration on both side.

`intdy=intln(x+1)dx....(1) `

Solve the above eq. Integration by part method

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