# Maths: differencial equations?

Find the general solution to the differential equation

d𝑢/d𝑣= 𝑎𝑢2

where 𝑎 is a constant.

### 4 Answers

Relevance

- az_lenderLv 73 weeks ago
Is that 2 an exponent? The convention for typing exponents without special software is to write du/dv = au^2.

Assuming that's what you meant, I get

du/u^2 = a dv =>

1/u = -av + C =>

u = 1/(C - av)

- Ian HLv 73 weeks ago
du/dv = au^2 ... separable variables

∫(1/u^2)du = a∫dv

-1/u + k = av

v = k/a – 1/au = C – 1/au

Still have questions? Get your answers by asking now.