The problem is dx/dt = 3xt^2

Jenny Stafford

Jenny Stafford

Answered question

2022-08-05

The problem is d x / d t = 3 x t 2

Answer & Explanation

wietselau

wietselau

Beginner2022-08-06Added 28 answers

d x / d t = 3 x t 2
d x / x = 3 t 2 d t
intergrate both side
1 x d x = 3 t 2 d t
ln x = t 3 + C
x = D e t 3 D is constant.
vrteclh

vrteclh

Beginner2022-08-07Added 5 answers

d x d t = 3 x t 2
This is a separable equation, so:
x d x = 3 t 2 d t
x d x = 3 t 2 d t
x 2 2 = t 3 + C

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