# Thread: Linear First Order ODE? Substitution?

1. ## Linear First Order ODE? Substitution?

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2. Let's write the DE in general form as...

$\frac{dq}{dt} = a\cdot q^{2} + b = b\cdot (1+\frac{a}{b}\cdot q^{2})$ (1)

... and it can be solved in standard fashion writing...

$\frac{dq}{1+ \frac{a}{b}\cdot q^{2}} = b\cdot dt$ (2)

... and then integrate both terms...

Kind regards

$\chi$ $\sigma$

3. Originally Posted by yianni

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