fix spelling typos

README.md

@@ -79,7 +79,7 @@ To use the F-1 method, the user must:
 
 ## A concrete example
 
-Make sure you have olverloaded `solve` from DiffEqBase
+Make sure you have overloaded `solve` from DiffEqBase
 (an example of how to do this is given in the [documentation](https://briochemc.github.io/F1Method.jl/stable/)).
 Once initial values for the state, `x₀`, and parameters, `p₀`, are chosen, simply initialize the required memory cache, `mem` via
 

docs/src/index.md

@@ -43,7 +43,7 @@ F(x,p) = [
 ```
 
 We also define a cost function `f(x,p)` (that we wish to minimize under the constraint that ``\boldsymbol{F}(\boldsymbol{x},\boldsymbol{p}) = 0``).
-(The F-1 method requires that we provide the derivatives w.r.t. the state, `x`, hence the use of ForwardDiff again for this exmaple.)
+(The F-1 method requires that we provide the derivatives w.r.t. the state, `x`, hence the use of ForwardDiff again for this example.)
 
 ```jldoctest usage
 # Define mismatch function f(x,p) and its derivative ∇ₓf(x,p)
@@ -65,7 +65,7 @@ f(x,p) = state_mismatch(x) + parameter_mismatch(p)
 ```
 
 Once these are set up, we need to let the F-1 method know how to solve for the steady-state.
-We do this by using the DiffEqBase API.
+We do this by using the [DiffEqBase](https://github.com/JuliaDiffEq/DiffEqBase.jl) API.
 For that, we first write a small Newton solver algorithm, we overload the `solve` function from DiffEqBase, and we overload the `SteadyStateProblem` constructor.
 
 ```jldoctest usage