# Find the general solution of the differential equation. {eq}y'=e^{6x}-8x {/eq}

## Question:

Find the general solution of the differential equation.

{eq}y'=e^{6x}-8x {/eq}

## Indefinite Integral:

If {eq}y' {/eq} denotes the derivative of the function {eq}y = f(x) {/eq}, then we determine {eq}y {/eq} by obtaining the indefinite integral of {eq}y' {/eq}.

So the solution of the differential equation of the form {eq}y' = f'(x) {/eq} is found by integrating {eq}f'(x) {/eq}:

{eq}y = \displaystyle \int f'(x) \ \mathrm{d}x {/eq}