# How do you find the particular solution to #dT+k(T-70)dt=0# that satisfies #T(0)=140#?

##### 1 Answer

Nov 8, 2016

#### Explanation:

We have

We can rearrange as follows:

Integrating gives:

I always prefer to aptly the initial conditions as soon as possible to minimise the change of an algebraic slip:

Substituting back into our DE solution gives us: