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## Homework Statement

Find the general solution to this differential equation:

[itex]\frac{dy}{dx}+18x^{17}y=x^{18}[/itex]

Use the variable [itex]I[/itex] for replacing [itex]\int e^{x^{18}} dx[/itex]

**2. The attempt at a solution**

I've solved the differential equation using integrating factors and obtained the following result:

[itex]y=\frac{\int e^{x^{18}}x^{18} dx + C}{e^{x^{18}}}[/itex]

My problem is using the variable [itex]I[/itex] for replacing the [itex]\int e^{x^{{18}}} dx[/itex]. How am I suppose to do this with [itex]x^{18}[/itex] inside the integral?

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