\(\text{Your first differential equation!}\\ \text{I don't know how much you've been taught. The usual way to solve this is}\\ f'(x) = 5f(x)\\ \dfrac{f'(x)}{f(x)}=5\\ \text{Integrate both sides}\\ \ln(f(x)) = 5x+c\\ f(x) = e^{5x+c} = Ce^{5x}\)
\(\text{Your first differential equation!}\\ \text{I don't know how much you've been taught. The usual way to solve this is}\\ f'(x) = 5f(x)\\ \dfrac{f'(x)}{f(x)}=5\\ \text{Integrate both sides}\\ \ln(f(x)) = 5x+c\\ f(x) = e^{5x+c} = Ce^{5x}\)
