Solution to Separable Differential Equation/Examples

Examples of Use of Solution to Separable Differential Equation

Arbitrary Example $1$

Consider the first order ODE:

$(1): \quad \map {\dfrac \d {\d x} } {\map f x} = 3 x$

where we are given that $\map f 1 = 2$.

The particular solution to $(1)$ is:

$\map f x = \dfrac {3 x^2 + 1} 2$

Arbitrary Example $2$

Solution to Separable Differential Equation/Examples/Arbitrary Example 2