R 1 </msub> C d v o </msub>

Amber Quinn

Amber Quinn

Answered question

2022-06-23

R 1 C d v o ( t ) d t + v o ( t ) = R 2 C d v i n ( t ) d t
How should this Differential Equation be classified? It almost resembles the form of a Linear Differential Equation, but the differential on the right hand side leads me to believe otherwise.

Answer & Explanation

Paxton James

Paxton James

Beginner2022-06-24Added 25 answers

Another technique is a change of variables: Let x = C R 1 v o + C R 2 v i n . Then x ˙ = C R 1 v o ˙ + C R 2 v i n ˙ , which gives x ˙ = v o = x C R 2 v i n C R 1 = 1 C R 1 x + R 2 R 1 v i n .. Solve for x, and recover v o with v o = x C R 2 v i n C R 1 .

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?